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Simplifying -82 = m + 2(-6m + -8) Reorder the terms: -82 = m + 2(-8 + -6m) -82 = m + (-8 * 2 + -6m * 2) -82 = m + (-16 + -12m) Reorder the terms: -82 = -16 + m + -12m Combine like terms: m + -12m = -11m -82 = -16 + -11m Solving -82 = -16 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. -82 + 11m = -16 + -11m + 11m Combine like terms: -11m + 11m = 0 -82 + 11m = -16 + 0 -82 + 11m = -16 Add '82' to each side of the equation. -82 + 82 + 11m = -16 + 82 Combine like terms: -82 + 82 = 0 0 + 11m = -16 + 82 11m = -16 + 82 Combine like terms: -16 + 82 = 66 11m = 66 Divide each side by '11'. m = 6 Simplifying m = 6
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