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Simplifying 3(8m + -7) = 3(2m + -1) Reorder the terms: 3(-7 + 8m) = 3(2m + -1) (-7 * 3 + 8m * 3) = 3(2m + -1) (-21 + 24m) = 3(2m + -1) Reorder the terms: -21 + 24m = 3(-1 + 2m) -21 + 24m = (-1 * 3 + 2m * 3) -21 + 24m = (-3 + 6m) Solving -21 + 24m = -3 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -21 + 24m + -6m = -3 + 6m + -6m Combine like terms: 24m + -6m = 18m -21 + 18m = -3 + 6m + -6m Combine like terms: 6m + -6m = 0 -21 + 18m = -3 + 0 -21 + 18m = -3 Add '21' to each side of the equation. -21 + 21 + 18m = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 18m = -3 + 21 18m = -3 + 21 Combine like terms: -3 + 21 = 18 18m = 18 Divide each side by '18'. m = 1 Simplifying m = 1
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