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Simplifying 6 + -3(a + 1) = 7 + a Reorder the terms: 6 + -3(1 + a) = 7 + a 6 + (1 * -3 + a * -3) = 7 + a 6 + (-3 + -3a) = 7 + a Combine like terms: 6 + -3 = 3 3 + -3a = 7 + a Solving 3 + -3a = 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. 3 + -3a + -1a = 7 + a + -1a Combine like terms: -3a + -1a = -4a 3 + -4a = 7 + a + -1a Combine like terms: a + -1a = 0 3 + -4a = 7 + 0 3 + -4a = 7 Add '-3' to each side of the equation. 3 + -3 + -4a = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -4a = 7 + -3 -4a = 7 + -3 Combine like terms: 7 + -3 = 4 -4a = 4 Divide each side by '-4'. a = -1 Simplifying a = -1
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