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Simplifying -32 = -10(3a + 7) + -4(8 + 10a) Reorder the terms: -32 = -10(7 + 3a) + -4(8 + 10a) -32 = (7 * -10 + 3a * -10) + -4(8 + 10a) -32 = (-70 + -30a) + -4(8 + 10a) -32 = -70 + -30a + (8 * -4 + 10a * -4) -32 = -70 + -30a + (-32 + -40a) Reorder the terms: -32 = -70 + -32 + -30a + -40a Combine like terms: -70 + -32 = -102 -32 = -102 + -30a + -40a Combine like terms: -30a + -40a = -70a -32 = -102 + -70a Solving -32 = -102 + -70a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '70a' to each side of the equation. -32 + 70a = -102 + -70a + 70a Combine like terms: -70a + 70a = 0 -32 + 70a = -102 + 0 -32 + 70a = -102 Add '32' to each side of the equation. -32 + 32 + 70a = -102 + 32 Combine like terms: -32 + 32 = 0 0 + 70a = -102 + 32 70a = -102 + 32 Combine like terms: -102 + 32 = -70 70a = -70 Divide each side by '70'. a = -1 Simplifying a = -1
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