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Simplifying -6 + -8(m + -7) = 20 + 2m Reorder the terms: -6 + -8(-7 + m) = 20 + 2m -6 + (-7 * -8 + m * -8) = 20 + 2m -6 + (56 + -8m) = 20 + 2m Combine like terms: -6 + 56 = 50 50 + -8m = 20 + 2m Solving 50 + -8m = 20 + 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. 50 + -8m + -2m = 20 + 2m + -2m Combine like terms: -8m + -2m = -10m 50 + -10m = 20 + 2m + -2m Combine like terms: 2m + -2m = 0 50 + -10m = 20 + 0 50 + -10m = 20 Add '-50' to each side of the equation. 50 + -50 + -10m = 20 + -50 Combine like terms: 50 + -50 = 0 0 + -10m = 20 + -50 -10m = 20 + -50 Combine like terms: 20 + -50 = -30 -10m = -30 Divide each side by '-10'. m = 3 Simplifying m = 3
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