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Simplifying 2(-7 + 5m) = 8(m + -3) (-7 * 2 + 5m * 2) = 8(m + -3) (-14 + 10m) = 8(m + -3) Reorder the terms: -14 + 10m = 8(-3 + m) -14 + 10m = (-3 * 8 + m * 8) -14 + 10m = (-24 + 8m) Solving -14 + 10m = -24 + 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. -14 + 10m + -8m = -24 + 8m + -8m Combine like terms: 10m + -8m = 2m -14 + 2m = -24 + 8m + -8m Combine like terms: 8m + -8m = 0 -14 + 2m = -24 + 0 -14 + 2m = -24 Add '14' to each side of the equation. -14 + 14 + 2m = -24 + 14 Combine like terms: -14 + 14 = 0 0 + 2m = -24 + 14 2m = -24 + 14 Combine like terms: -24 + 14 = -10 2m = -10 Divide each side by '2'. m = -5 Simplifying m = -5
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