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Simplifying 2(a + -9) + 10 = 2 + -1(10 + -10a) Reorder the terms: 2(-9 + a) + 10 = 2 + -1(10 + -10a) (-9 * 2 + a * 2) + 10 = 2 + -1(10 + -10a) (-18 + 2a) + 10 = 2 + -1(10 + -10a) Reorder the terms: -18 + 10 + 2a = 2 + -1(10 + -10a) Combine like terms: -18 + 10 = -8 -8 + 2a = 2 + -1(10 + -10a) -8 + 2a = 2 + (10 * -1 + -10a * -1) -8 + 2a = 2 + (-10 + 10a) Combine like terms: 2 + -10 = -8 -8 + 2a = -8 + 10a Add '8' to each side of the equation. -8 + 8 + 2a = -8 + 8 + 10a Combine like terms: -8 + 8 = 0 0 + 2a = -8 + 8 + 10a 2a = -8 + 8 + 10a Combine like terms: -8 + 8 = 0 2a = 0 + 10a 2a = 10a Solving 2a = 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 2a + -10a = 10a + -10a Combine like terms: 2a + -10a = -8a -8a = 10a + -10a Combine like terms: 10a + -10a = 0 -8a = 0 Divide each side by '-8'. a = 0 Simplifying a = 0
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