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Simplifying -42 = -3(6 + -1a) -42 = (6 * -3 + -1a * -3) -42 = (-18 + 3a) Solving -42 = -18 + 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. -42 + -3a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 -42 + -3a = -18 + 0 -42 + -3a = -18 Add '42' to each side of the equation. -42 + 42 + -3a = -18 + 42 Combine like terms: -42 + 42 = 0 0 + -3a = -18 + 42 -3a = -18 + 42 Combine like terms: -18 + 42 = 24 -3a = 24 Divide each side by '-3'. a = -8 Simplifying a = -8
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