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Simplifying 5 + -2(a + 2) = 7 + a Reorder the terms: 5 + -2(2 + a) = 7 + a 5 + (2 * -2 + a * -2) = 7 + a 5 + (-4 + -2a) = 7 + a Combine like terms: 5 + -4 = 1 1 + -2a = 7 + a Solving 1 + -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. 1 + -2a + -1a = 7 + a + -1a Combine like terms: -2a + -1a = -3a 1 + -3a = 7 + a + -1a Combine like terms: a + -1a = 0 1 + -3a = 7 + 0 1 + -3a = 7 Add '-1' to each side of the equation. 1 + -1 + -3a = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -3a = 7 + -1 -3a = 7 + -1 Combine like terms: 7 + -1 = 6 -3a = 6 Divide each side by '-3'. a = -2 Simplifying a = -2
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