Answer:
j = 1
Explanation:
The first step is to expand this equation by distributing 3.2 to the terms of the binomial within the parentheses.
3.2(j + 1) + 1.18 = 7.58
3.2j + 3.2(1) + 1.18 = 7.58
3.2j + 3.2 + 1.18 = 7.58
Next, we combine like terms on the left of the equals sign to simplify the expression. We can add a zero to the end of the constant 3.2 so that it becomes 3.20, in order to match the amount of digits after the decimal that the other constant (1.18) has without changing its value. This will make addition easier for those who prefer to add by hand as well.
3.2j + 3.2 + 1.18 = 7.58
3.2j + 3.20 + 1.18 = 7.58
3.20 + 1.18 = 4.38
3.2j + 4.38 = 7.58
Next, we subtract 4.38 from both sides of the equals sign in order to have variables on one side and constants on the other, again combining like terms to simplify.
3.2j + 4.38 - 4.38 = 7.58 - 4.38
3.2j + 0 = 7.58 - 4.38
3.2j = 7.58 - 4.38
3.2j = 3.20
3.2j = 3.2
Finally, isolate the variable by dividing both sides of the equals sign by the coefficient in front of the variable.
3.2j / 3.2 = 3.2 / 3.2
j = 3.2 / 3.2
j = 1