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Simplifying 18 + -1(2a + -12) = 8a Reorder the terms: 18 + -1(-12 + 2a) = 8a 18 + (-12 * -1 + 2a * -1) = 8a 18 + (12 + -2a) = 8a Combine like terms: 18 + 12 = 30 30 + -2a = 8a Solving 30 + -2a = 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 30 + -2a + -8a = 8a + -8a Combine like terms: -2a + -8a = -10a 30 + -10a = 8a + -8a Combine like terms: 8a + -8a = 0 30 + -10a = 0 Add '-30' to each side of the equation. 30 + -30 + -10a = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -10a = 0 + -30 -10a = 0 + -30 Combine like terms: 0 + -30 = -30 -10a = -30 Divide each side by '-10'. a = 3 Simplifying a = 3
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