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Simplifying 7 + -7(a + 1) = -3(20 + -1a) Reorder the terms: 7 + -7(1 + a) = -3(20 + -1a) 7 + (1 * -7 + a * -7) = -3(20 + -1a) 7 + (-7 + -7a) = -3(20 + -1a) Combine like terms: 7 + -7 = 0 0 + -7a = -3(20 + -1a) -7a = -3(20 + -1a) -7a = (20 * -3 + -1a * -3) -7a = (-60 + 3a) Solving -7a = -60 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -7a + -3a = -60 + 3a + -3a Combine like terms: -7a + -3a = -10a -10a = -60 + 3a + -3a Combine like terms: 3a + -3a = 0 -10a = -60 + 0 -10a = -60 Divide each side by '-10'. a = 6 Simplifying a = 6
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