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10-d = -34-5d solve this equation

2 Answers

5 votes

Answer:

d=-11

Explanation:

10-d=-34-5d

+5d +5d

10+4d=-34

-10 -10

4d=-44

÷4 ÷4

d=-11

just do the opposite

User OnWhenReady
by
4.0k points
7 votes

Explanation

  • Given the equation.


10 - d = - 34 - 5d

  • Solve the equation for d-term.

Because we cannot subtract or add up constants and variables, we simply move the same variable term to the same side and constant term to the same constant side.


10 + 34 = - 5d + d \\ 44 = - 4d \\ (44)/( - 4) = d \\ - 11 = d

  • Answer Check

Substitute d = -11 in the equation.


10 - ( - 11) = - 34 - 5( - 11) \\ 10 + 11 = - 34 + 55 \\ 21 = 21

The equation is true for d = -11.

Answer


\large \boxed{d = - 11}

User Casey Wilkins
by
4.7k points