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Simplifying -5a + 7 = 2(a + -17) + -1 Reorder the terms: 7 + -5a = 2(a + -17) + -1 Reorder the terms: 7 + -5a = 2(-17 + a) + -1 7 + -5a = (-17 * 2 + a * 2) + -1 7 + -5a = (-34 + 2a) + -1 Reorder the terms: 7 + -5a = -34 + -1 + 2a Combine like terms: -34 + -1 = -35 7 + -5a = -35 + 2a Solving 7 + -5a = -35 + 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. 7 + -5a + -2a = -35 + 2a + -2a Combine like terms: -5a + -2a = -7a 7 + -7a = -35 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + -7a = -35 + 0 7 + -7a = -35 Add '-7' to each side of the equation. 7 + -7 + -7a = -35 + -7 Combine like terms: 7 + -7 = 0 0 + -7a = -35 + -7 -7a = -35 + -7 Combine like terms: -35 + -7 = -42 -7a = -42 Divide each side by '-7'. a = 6 Simplifying a = 6
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