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Simplifying -2(a + -6) + 2 = -1(a + -4) + 3 Reorder the terms: -2(-6 + a) + 2 = -1(a + -4) + 3 (-6 * -2 + a * -2) + 2 = -1(a + -4) + 3 (12 + -2a) + 2 = -1(a + -4) + 3 Reorder the terms: 12 + 2 + -2a = -1(a + -4) + 3 Combine like terms: 12 + 2 = 14 14 + -2a = -1(a + -4) + 3 Reorder the terms: 14 + -2a = -1(-4 + a) + 3 14 + -2a = (-4 * -1 + a * -1) + 3 14 + -2a = (4 + -1a) + 3 Reorder the terms: 14 + -2a = 4 + 3 + -1a Combine like terms: 4 + 3 = 7 14 + -2a = 7 + -1a Solving 14 + -2a = 7 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 14 + -2a + a = 7 + -1a + a Combine like terms: -2a + a = -1a 14 + -1a = 7 + -1a + a Combine like terms: -1a + a = 0 14 + -1a = 7 + 0 14 + -1a = 7 Add '-14' to each side of the equation. 14 + -14 + -1a = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -1a = 7 + -14 -1a = 7 + -14 Combine like terms: 7 + -14 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7
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