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Simplifying -30 + -30a = -8(5a + -7) Reorder the terms: -30 + -30a = -8(-7 + 5a) -30 + -30a = (-7 * -8 + 5a * -8) -30 + -30a = (56 + -40a) Solving -30 + -30a = 56 + -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. -30 + -30a + 40a = 56 + -40a + 40a Combine like terms: -30a + 40a = 10a -30 + 10a = 56 + -40a + 40a Combine like terms: -40a + 40a = 0 -30 + 10a = 56 + 0 -30 + 10a = 56 Add '30' to each side of the equation. -30 + 30 + 10a = 56 + 30 Combine like terms: -30 + 30 = 0 0 + 10a = 56 + 30 10a = 56 + 30 Combine like terms: 56 + 30 = 86 10a = 86 Divide each side by '10'. a = 8.6 Simplifying a = 8.6
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