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Simplifying -1(7 + -2a) + -1(a + 12) = -18 (7 * -1 + -2a * -1) + -1(a + 12) = -18 (-7 + 2a) + -1(a + 12) = -18 Reorder the terms: -7 + 2a + -1(12 + a) = -18 -7 + 2a + (12 * -1 + a * -1) = -18 -7 + 2a + (-12 + -1a) = -18 Reorder the terms: -7 + -12 + 2a + -1a = -18 Combine like terms: -7 + -12 = -19 -19 + 2a + -1a = -18 Combine like terms: 2a + -1a = 1a -19 + 1a = -18 Solving -19 + 1a = -18 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1a = -18 + 19 Combine like terms: -19 + 19 = 0 0 + 1a = -18 + 19 1a = -18 + 19 Combine like terms: -18 + 19 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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