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