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Simplifying 40 + -4m = -3m + -7(6m + 6) Reorder the terms: 40 + -4m = -3m + -7(6 + 6m) 40 + -4m = -3m + (6 * -7 + 6m * -7) 40 + -4m = -3m + (-42 + -42m) Reorder the terms: 40 + -4m = -42 + -3m + -42m Combine like terms: -3m + -42m = -45m 40 + -4m = -42 + -45m Solving 40 + -4m = -42 + -45m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '45m' to each side of the equation. 40 + -4m + 45m = -42 + -45m + 45m Combine like terms: -4m + 45m = 41m 40 + 41m = -42 + -45m + 45m Combine like terms: -45m + 45m = 0 40 + 41m = -42 + 0 40 + 41m = -42 Add '-40' to each side of the equation. 40 + -40 + 41m = -42 + -40 Combine like terms: 40 + -40 = 0 0 + 41m = -42 + -40 41m = -42 + -40 Combine like terms: -42 + -40 = -82 41m = -82 Divide each side by '41'. m = -2 Simplifying m = -2
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