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Simplifying -5(3a + -3) = -1(1 + 7a) Reorder the terms: -5(-3 + 3a) = -1(1 + 7a) (-3 * -5 + 3a * -5) = -1(1 + 7a) (15 + -15a) = -1(1 + 7a) 15 + -15a = (1 * -1 + 7a * -1) 15 + -15a = (-1 + -7a) Solving 15 + -15a = -1 + -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. 15 + -15a + 7a = -1 + -7a + 7a Combine like terms: -15a + 7a = -8a 15 + -8a = -1 + -7a + 7a Combine like terms: -7a + 7a = 0 15 + -8a = -1 + 0 15 + -8a = -1 Add '-15' to each side of the equation. 15 + -15 + -8a = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -8a = -1 + -15 -8a = -1 + -15 Combine like terms: -1 + -15 = -16 -8a = -16 Divide each side by '-8'. a = 2 Simplifying a = 2
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