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Simplifying 6 + -2(a + 1) = 7 + a Reorder the terms: 6 + -2(1 + a) = 7 + a 6 + (1 * -2 + a * -2) = 7 + a 6 + (-2 + -2a) = 7 + a Combine like terms: 6 + -2 = 4 4 + -2a = 7 + a Solving 4 + -2a = 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. 4 + -2a + -1a = 7 + a + -1a Combine like terms: -2a + -1a = -3a 4 + -3a = 7 + a + -1a Combine like terms: a + -1a = 0 4 + -3a = 7 + 0 4 + -3a = 7 Add '-4' to each side of the equation. 4 + -4 + -3a = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -3a = 7 + -4 -3a = 7 + -4 Combine like terms: 7 + -4 = 3 -3a = 3 Divide each side by '-3'. a = -1 Simplifying a = -1
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