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Simplifying 6 + -4(a + 1) = 7 + a Reorder the terms: 6 + -4(1 + a) = 7 + a 6 + (1 * -4 + a * -4) = 7 + a 6 + (-4 + -4a) = 7 + a Combine like terms: 6 + -4 = 2 2 + -4a = 7 + a Solving 2 + -4a = 7 + 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. 2 + -4a + -1a = 7 + a + -1a Combine like terms: -4a + -1a = -5a 2 + -5a = 7 + a + -1a Combine like terms: a + -1a = 0 2 + -5a = 7 + 0 2 + -5a = 7 Add '-2' to each side of the equation. 2 + -2 + -5a = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -5a = 7 + -2 -5a = 7 + -2 Combine like terms: 7 + -2 = 5 -5a = 5 Divide each side by '-5'. a = -1 Simplifying a = -1
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