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Simplifying -7 + -1m = -8(4m + -3) Reorder the terms: -7 + -1m = -8(-3 + 4m) -7 + -1m = (-3 * -8 + 4m * -8) -7 + -1m = (24 + -32m) Solving -7 + -1m = 24 + -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. -7 + -1m + 32m = 24 + -32m + 32m Combine like terms: -1m + 32m = 31m -7 + 31m = 24 + -32m + 32m Combine like terms: -32m + 32m = 0 -7 + 31m = 24 + 0 -7 + 31m = 24 Add '7' to each side of the equation. -7 + 7 + 31m = 24 + 7 Combine like terms: -7 + 7 = 0 0 + 31m = 24 + 7 31m = 24 + 7 Combine like terms: 24 + 7 = 31 31m = 31 Divide each side by '31'. m = 1 Simplifying m = 1
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