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Simplifying 6(m + -8) + -2(3m + 2) = 11m + -5 + 7 Reorder the terms: 6(-8 + m) + -2(3m + 2) = 11m + -5 + 7 (-8 * 6 + m * 6) + -2(3m + 2) = 11m + -5 + 7 (-48 + 6m) + -2(3m + 2) = 11m + -5 + 7 Reorder the terms: -48 + 6m + -2(2 + 3m) = 11m + -5 + 7 -48 + 6m + (2 * -2 + 3m * -2) = 11m + -5 + 7 -48 + 6m + (-4 + -6m) = 11m + -5 + 7 Reorder the terms: -48 + -4 + 6m + -6m = 11m + -5 + 7 Combine like terms: -48 + -4 = -52 -52 + 6m + -6m = 11m + -5 + 7 Combine like terms: 6m + -6m = 0 -52 + 0 = 11m + -5 + 7 -52 = 11m + -5 + 7 Reorder the terms: -52 = -5 + 7 + 11m Combine like terms: -5 + 7 = 2 -52 = 2 + 11m Solving -52 = 2 + 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. -52 + -11m = 2 + 11m + -11m Combine like terms: 11m + -11m = 0 -52 + -11m = 2 + 0 -52 + -11m = 2 Add '52' to each side of the equation. -52 + 52 + -11m = 2 + 52 Combine like terms: -52 + 52 = 0 0 + -11m = 2 + 52 -11m = 2 + 52 Combine like terms: 2 + 52 = 54 -11m = 54 Divide each side by '-11'. m = -4.909090909 Simplifying m = -4.909090909
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