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Simplifying -5m + -7(5m + -8) = 7m + 9 Reorder the terms: -5m + -7(-8 + 5m) = 7m + 9 -5m + (-8 * -7 + 5m * -7) = 7m + 9 -5m + (56 + -35m) = 7m + 9 Reorder the terms: 56 + -5m + -35m = 7m + 9 Combine like terms: -5m + -35m = -40m 56 + -40m = 7m + 9 Reorder the terms: 56 + -40m = 9 + 7m Solving 56 + -40m = 9 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 56 + -40m + -7m = 9 + 7m + -7m Combine like terms: -40m + -7m = -47m 56 + -47m = 9 + 7m + -7m Combine like terms: 7m + -7m = 0 56 + -47m = 9 + 0 56 + -47m = 9 Add '-56' to each side of the equation. 56 + -56 + -47m = 9 + -56 Combine like terms: 56 + -56 = 0 0 + -47m = 9 + -56 -47m = 9 + -56 Combine like terms: 9 + -56 = -47 -47m = -47 Divide each side by '-47'. m = 1 Simplifying m = 1
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