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Simplifying -8 + -6(1 + m) = 2m + 2 -8 + (1 * -6 + m * -6) = 2m + 2 -8 + (-6 + -6m) = 2m + 2 Combine like terms: -8 + -6 = -14 -14 + -6m = 2m + 2 Reorder the terms: -14 + -6m = 2 + 2m Solving -14 + -6m = 2 + 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. -14 + -6m + -2m = 2 + 2m + -2m Combine like terms: -6m + -2m = -8m -14 + -8m = 2 + 2m + -2m Combine like terms: 2m + -2m = 0 -14 + -8m = 2 + 0 -14 + -8m = 2 Add '14' to each side of the equation. -14 + 14 + -8m = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -8m = 2 + 14 -8m = 2 + 14 Combine like terms: 2 + 14 = 16 -8m = 16 Divide each side by '-8'. m = -2 Simplifying m = -2
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