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Simplifying -18 = -1(7 + -2a) + -1(9 + 12) -18 = (7 * -1 + -2a * -1) + -1(9 + 12) -18 = (-7 + 2a) + -1(9 + 12) Combine like terms: 9 + 12 = 21 -18 = -7 + 2a + -1(21) Multiply -1 * 21 -18 = -7 + 2a + -21 Reorder the terms: -18 = -7 + -21 + 2a Combine like terms: -7 + -21 = -28 -18 = -28 + 2a Solving -18 = -28 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -18 + -2a = -28 + 2a + -2a Combine like terms: 2a + -2a = 0 -18 + -2a = -28 + 0 -18 + -2a = -28 Add '18' to each side of the equation. -18 + 18 + -2a = -28 + 18 Combine like terms: -18 + 18 = 0 0 + -2a = -28 + 18 -2a = -28 + 18 Combine like terms: -28 + 18 = -10 -2a = -10 Divide each side by '-2'. a = 5 Simplifying a = 5
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