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Simplifying -8 + 3m = 2m + -5(2m + 6) Reorder the terms: -8 + 3m = 2m + -5(6 + 2m) -8 + 3m = 2m + (6 * -5 + 2m * -5) -8 + 3m = 2m + (-30 + -10m) Reorder the terms: -8 + 3m = -30 + 2m + -10m Combine like terms: 2m + -10m = -8m -8 + 3m = -30 + -8m Solving -8 + 3m = -30 + -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. -8 + 3m + 8m = -30 + -8m + 8m Combine like terms: 3m + 8m = 11m -8 + 11m = -30 + -8m + 8m Combine like terms: -8m + 8m = 0 -8 + 11m = -30 + 0 -8 + 11m = -30 Add '8' to each side of the equation. -8 + 8 + 11m = -30 + 8 Combine like terms: -8 + 8 = 0 0 + 11m = -30 + 8 11m = -30 + 8 Combine like terms: -30 + 8 = -22 11m = -22 Divide each side by '11'. m = -2 Simplifying m = -2
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