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