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