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Simplifying 7(4 + -1a) = 8(a + -4) (4 * 7 + -1a * 7) = 8(a + -4) (28 + -7a) = 8(a + -4) Reorder the terms: 28 + -7a = 8(-4 + a) 28 + -7a = (-4 * 8 + a * 8) 28 + -7a = (-32 + 8a) Solving 28 + -7a = -32 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 28 + -7a + -8a = -32 + 8a + -8a Combine like terms: -7a + -8a = -15a 28 + -15a = -32 + 8a + -8a Combine like terms: 8a + -8a = 0 28 + -15a = -32 + 0 28 + -15a = -32 Add '-28' to each side of the equation. 28 + -28 + -15a = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -15a = -32 + -28 -15a = -32 + -28 Combine like terms: -32 + -28 = -60 -15a = -60 Divide each side by '-15'. a = 4 Simplifying a = 4
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