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Simplifying 3(7 + -2m) = 14 + -8(m + -1) (7 * 3 + -2m * 3) = 14 + -8(m + -1) (21 + -6m) = 14 + -8(m + -1) Reorder the terms: 21 + -6m = 14 + -8(-1 + m) 21 + -6m = 14 + (-1 * -8 + m * -8) 21 + -6m = 14 + (8 + -8m) Combine like terms: 14 + 8 = 22 21 + -6m = 22 + -8m Solving 21 + -6m = 22 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 21 + -6m + 8m = 22 + -8m + 8m Combine like terms: -6m + 8m = 2m 21 + 2m = 22 + -8m + 8m Combine like terms: -8m + 8m = 0 21 + 2m = 22 + 0 21 + 2m = 22 Add '-21' to each side of the equation. 21 + -21 + 2m = 22 + -21 Combine like terms: 21 + -21 = 0 0 + 2m = 22 + -21 2m = 22 + -21 Combine like terms: 22 + -21 = 1 2m = 1 Divide each side by '2'. m = 0.5 Simplifying m = 0.5
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