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Simplifying -1(-3a + 4) = 8 + 7a Reorder the terms: -1(4 + -3a) = 8 + 7a (4 * -1 + -3a * -1) = 8 + 7a (-4 + 3a) = 8 + 7a Solving -4 + 3a = 8 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -4 + 3a + -7a = 8 + 7a + -7a Combine like terms: 3a + -7a = -4a -4 + -4a = 8 + 7a + -7a Combine like terms: 7a + -7a = 0 -4 + -4a = 8 + 0 -4 + -4a = 8 Add '4' to each side of the equation. -4 + 4 + -4a = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -4a = 8 + 4 -4a = 8 + 4 Combine like terms: 8 + 4 = 12 -4a = 12 Divide each side by '-4'. a = -3 Simplifying a = -3
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