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Simplifying -1(2a + -7) = 3a + -23 Reorder the terms: -1(-7 + 2a) = 3a + -23 (-7 * -1 + 2a * -1) = 3a + -23 (7 + -2a) = 3a + -23 Reorder the terms: 7 + -2a = -23 + 3a Solving 7 + -2a = -23 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 7 + -2a + -3a = -23 + 3a + -3a Combine like terms: -2a + -3a = -5a 7 + -5a = -23 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + -5a = -23 + 0 7 + -5a = -23 Add '-7' to each side of the equation. 7 + -7 + -5a = -23 + -7 Combine like terms: 7 + -7 = 0 0 + -5a = -23 + -7 -5a = -23 + -7 Combine like terms: -23 + -7 = -30 -5a = -30 Divide each side by '-5'. a = 6 Simplifying a = 6
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