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Simplifying -2a + 3 = -8(-1a + -2) + 7 Reorder the terms: 3 + -2a = -8(-1a + -2) + 7 Reorder the terms: 3 + -2a = -8(-2 + -1a) + 7 3 + -2a = (-2 * -8 + -1a * -8) + 7 3 + -2a = (16 + 8a) + 7 Reorder the terms: 3 + -2a = 16 + 7 + 8a Combine like terms: 16 + 7 = 23 3 + -2a = 23 + 8a Solving 3 + -2a = 23 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 3 + -2a + -8a = 23 + 8a + -8a Combine like terms: -2a + -8a = -10a 3 + -10a = 23 + 8a + -8a Combine like terms: 8a + -8a = 0 3 + -10a = 23 + 0 3 + -10a = 23 Add '-3' to each side of the equation. 3 + -3 + -10a = 23 + -3 Combine like terms: 3 + -3 = 0 0 + -10a = 23 + -3 -10a = 23 + -3 Combine like terms: 23 + -3 = 20 -10a = 20 Divide each side by '-10'. a = -2 Simplifying a = -2
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