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Simplifying -84 = -4(-4a + 3) + -7a Reorder the terms: -84 = -4(3 + -4a) + -7a -84 = (3 * -4 + -4a * -4) + -7a -84 = (-12 + 16a) + -7a Combine like terms: 16a + -7a = 9a -84 = -12 + 9a Solving -84 = -12 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -84 + -9a = -12 + 9a + -9a Combine like terms: 9a + -9a = 0 -84 + -9a = -12 + 0 -84 + -9a = -12 Add '84' to each side of the equation. -84 + 84 + -9a = -12 + 84 Combine like terms: -84 + 84 = 0 0 + -9a = -12 + 84 -9a = -12 + 84 Combine like terms: -12 + 84 = 72 -9a = 72 Divide each side by '-9'. a = -8 Simplifying a = -8
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