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Simplifying -5(3 + 7a) = -8(a + -1) + -4a (3 * -5 + 7a * -5) = -8(a + -1) + -4a (-15 + -35a) = -8(a + -1) + -4a Reorder the terms: -15 + -35a = -8(-1 + a) + -4a -15 + -35a = (-1 * -8 + a * -8) + -4a -15 + -35a = (8 + -8a) + -4a Combine like terms: -8a + -4a = -12a -15 + -35a = 8 + -12a Solving -15 + -35a = 8 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -15 + -35a + 12a = 8 + -12a + 12a Combine like terms: -35a + 12a = -23a -15 + -23a = 8 + -12a + 12a Combine like terms: -12a + 12a = 0 -15 + -23a = 8 + 0 -15 + -23a = 8 Add '15' to each side of the equation. -15 + 15 + -23a = 8 + 15 Combine like terms: -15 + 15 = 0 0 + -23a = 8 + 15 -23a = 8 + 15 Combine like terms: 8 + 15 = 23 -23a = 23 Divide each side by '-23'. a = -1 Simplifying a = -1
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