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Simplifying 7(4 + -1a) = 3(a + -4) (4 * 7 + -1a * 7) = 3(a + -4) (28 + -7a) = 3(a + -4) Reorder the terms: 28 + -7a = 3(-4 + a) 28 + -7a = (-4 * 3 + a * 3) 28 + -7a = (-12 + 3a) Solving 28 + -7a = -12 + 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. 28 + -7a + -3a = -12 + 3a + -3a Combine like terms: -7a + -3a = -10a 28 + -10a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 28 + -10a = -12 + 0 28 + -10a = -12 Add '-28' to each side of the equation. 28 + -28 + -10a = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -10a = -12 + -28 -10a = -12 + -28 Combine like terms: -12 + -28 = -40 -10a = -40 Divide each side by '-10'. a = 4 Simplifying a = 4
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