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Simplifying 2 + -3(a + 1) = 7 + a Reorder the terms: 2 + -3(1 + a) = 7 + a 2 + (1 * -3 + a * -3) = 7 + a 2 + (-3 + -3a) = 7 + a Combine like terms: 2 + -3 = -1 -1 + -3a = 7 + a Solving -1 + -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. -1 + -3a + -1a = 7 + a + -1a Combine like terms: -3a + -1a = -4a -1 + -4a = 7 + a + -1a Combine like terms: a + -1a = 0 -1 + -4a = 7 + 0 -1 + -4a = 7 Add '1' to each side of the equation. -1 + 1 + -4a = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -4a = 7 + 1 -4a = 7 + 1 Combine like terms: 7 + 1 = 8 -4a = 8 Divide each side by '-4'. a = -2 Simplifying a = -2
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