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Simplifying 4m + 9 = 5 + -6(6m + 6) Reorder the terms: 9 + 4m = 5 + -6(6m + 6) Reorder the terms: 9 + 4m = 5 + -6(6 + 6m) 9 + 4m = 5 + (6 * -6 + 6m * -6) 9 + 4m = 5 + (-36 + -36m) Combine like terms: 5 + -36 = -31 9 + 4m = -31 + -36m Solving 9 + 4m = -31 + -36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '36m' to each side of the equation. 9 + 4m + 36m = -31 + -36m + 36m Combine like terms: 4m + 36m = 40m 9 + 40m = -31 + -36m + 36m Combine like terms: -36m + 36m = 0 9 + 40m = -31 + 0 9 + 40m = -31 Add '-9' to each side of the equation. 9 + -9 + 40m = -31 + -9 Combine like terms: 9 + -9 = 0 0 + 40m = -31 + -9 40m = -31 + -9 Combine like terms: -31 + -9 = -40 40m = -40 Divide each side by '40'. m = -1 Simplifying m = -1
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