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Simplifying 40 + -1m = 3 + -8(7 + 4m) 40 + -1m = 3 + (7 * -8 + 4m * -8) 40 + -1m = 3 + (-56 + -32m) Combine like terms: 3 + -56 = -53 40 + -1m = -53 + -32m Solving 40 + -1m = -53 + -32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '32m' to each side of the equation. 40 + -1m + 32m = -53 + -32m + 32m Combine like terms: -1m + 32m = 31m 40 + 31m = -53 + -32m + 32m Combine like terms: -32m + 32m = 0 40 + 31m = -53 + 0 40 + 31m = -53 Add '-40' to each side of the equation. 40 + -40 + 31m = -53 + -40 Combine like terms: 40 + -40 = 0 0 + 31m = -53 + -40 31m = -53 + -40 Combine like terms: -53 + -40 = -93 31m = -93 Divide each side by '31'. m = -3 Simplifying m = -3
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