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Simplifying -5(4 + 3a) = 7(1 + -1a) + -3 (4 * -5 + 3a * -5) = 7(1 + -1a) + -3 (-20 + -15a) = 7(1 + -1a) + -3 -20 + -15a = (1 * 7 + -1a * 7) + -3 -20 + -15a = (7 + -7a) + -3 Reorder the terms: -20 + -15a = 7 + -3 + -7a Combine like terms: 7 + -3 = 4 -20 + -15a = 4 + -7a Solving -20 + -15a = 4 + -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. -20 + -15a + 7a = 4 + -7a + 7a Combine like terms: -15a + 7a = -8a -20 + -8a = 4 + -7a + 7a Combine like terms: -7a + 7a = 0 -20 + -8a = 4 + 0 -20 + -8a = 4 Add '20' to each side of the equation. -20 + 20 + -8a = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -8a = 4 + 20 -8a = 4 + 20 Combine like terms: 4 + 20 = 24 -8a = 24 Divide each side by '-8'. a = -3 Simplifying a = -3
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