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Simplifying -12a + -7(4a + 12) = 10a + 8(a + -12) Reorder the terms: -12a + -7(12 + 4a) = 10a + 8(a + -12) -12a + (12 * -7 + 4a * -7) = 10a + 8(a + -12) -12a + (-84 + -28a) = 10a + 8(a + -12) Reorder the terms: -84 + -12a + -28a = 10a + 8(a + -12) Combine like terms: -12a + -28a = -40a -84 + -40a = 10a + 8(a + -12) Reorder the terms: -84 + -40a = 10a + 8(-12 + a) -84 + -40a = 10a + (-12 * 8 + a * 8) -84 + -40a = 10a + (-96 + 8a) Reorder the terms: -84 + -40a = -96 + 10a + 8a Combine like terms: 10a + 8a = 18a -84 + -40a = -96 + 18a Solving -84 + -40a = -96 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -84 + -40a + -18a = -96 + 18a + -18a Combine like terms: -40a + -18a = -58a -84 + -58a = -96 + 18a + -18a Combine like terms: 18a + -18a = 0 -84 + -58a = -96 + 0 -84 + -58a = -96 Add '84' to each side of the equation. -84 + 84 + -58a = -96 + 84 Combine like terms: -84 + 84 = 0 0 + -58a = -96 + 84 -58a = -96 + 84 Combine like terms: -96 + 84 = -12 -58a = -12 Divide each side by '-58'. a = 0.2068965517 Simplifying a = 0.2068965517
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