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Simplifying -4m + 17 = 7(-6m + -3) Reorder the terms: 17 + -4m = 7(-6m + -3) Reorder the terms: 17 + -4m = 7(-3 + -6m) 17 + -4m = (-3 * 7 + -6m * 7) 17 + -4m = (-21 + -42m) Solving 17 + -4m = -21 + -42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '42m' to each side of the equation. 17 + -4m + 42m = -21 + -42m + 42m Combine like terms: -4m + 42m = 38m 17 + 38m = -21 + -42m + 42m Combine like terms: -42m + 42m = 0 17 + 38m = -21 + 0 17 + 38m = -21 Add '-17' to each side of the equation. 17 + -17 + 38m = -21 + -17 Combine like terms: 17 + -17 = 0 0 + 38m = -21 + -17 38m = -21 + -17 Combine like terms: -21 + -17 = -38 38m = -38 Divide each side by '38'. m = -1 Simplifying m = -1
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