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Simplifying 16 + -2(a + -1) = 3a + -12 Reorder the terms: 16 + -2(-1 + a) = 3a + -12 16 + (-1 * -2 + a * -2) = 3a + -12 16 + (2 + -2a) = 3a + -12 Combine like terms: 16 + 2 = 18 18 + -2a = 3a + -12 Reorder the terms: 18 + -2a = -12 + 3a Solving 18 + -2a = -12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 18 + -2a + -3a = -12 + 3a + -3a Combine like terms: -2a + -3a = -5a 18 + -5a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 18 + -5a = -12 + 0 18 + -5a = -12 Add '-18' to each side of the equation. 18 + -18 + -5a = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -5a = -12 + -18 -5a = -12 + -18 Combine like terms: -12 + -18 = -30 -5a = -30 Divide each side by '-5'. a = 6 Simplifying a = 6
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