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Simplifying 7(-1 + -3m) + -1 = -2m + 11 (-1 * 7 + -3m * 7) + -1 = -2m + 11 (-7 + -21m) + -1 = -2m + 11 Reorder the terms: -7 + -1 + -21m = -2m + 11 Combine like terms: -7 + -1 = -8 -8 + -21m = -2m + 11 Reorder the terms: -8 + -21m = 11 + -2m Solving -8 + -21m = 11 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -8 + -21m + 2m = 11 + -2m + 2m Combine like terms: -21m + 2m = -19m -8 + -19m = 11 + -2m + 2m Combine like terms: -2m + 2m = 0 -8 + -19m = 11 + 0 -8 + -19m = 11 Add '8' to each side of the equation. -8 + 8 + -19m = 11 + 8 Combine like terms: -8 + 8 = 0 0 + -19m = 11 + 8 -19m = 11 + 8 Combine like terms: 11 + 8 = 19 -19m = 19 Divide each side by '-19'. m = -1 Simplifying m = -1
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