Question

4 times the sum of a number and -6 equals 20

Answer 1

To find the value of the number, we represented the statement as the equation 4(x - 6) = 20 and solved for 'x' to determine that the number is 11.

Step-by-step explanation:

The question asks us to solve an equation where 4 times the sum of a number and -6 is equal to 20. This can be translated into an algebraic equation as 4(x + (-6)) = 20. To find the value of the number, we need to solve this equation.

Step-by-step solution:

1. Distribute the 4 into the parentheses: 4 * x + 4 * (-6) = 20.
2. This simplifies to 4x - 24 = 20.
3. Add 24 to both sides of the equation: 4x - 24 + 24 = 20 + 24, resulting in 4x = 44.
4. Divide both sides by 4: 4x / 4 = 44 / 4.
5. Simplify to find the value of the number: x = 11.

Therefore, the number in question is 11.

Answer 2

The number is 11.

Step-by-step explanation:

Step one: Convert to algebraic equation

4 x ( a -6 ) = 20

Step two: Simplify both sides of the equation.

4 (a −6) = 20

(4)(a) +(4)(−6) = 20 (Distribute)

4a +−24 = 20

4a −24 = 20

Step three: Add 24 to both sides.

4a −24 +24 = 20 +24

4a = 44

Step four: Divide both sides by 4.

(4a /4) = (44 /4)

a = 11