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Simplifying -6(m + 9) + -6(2m + -1) = 5(m + -7) + 8 Reorder the terms: -6(9 + m) + -6(2m + -1) = 5(m + -7) + 8 (9 * -6 + m * -6) + -6(2m + -1) = 5(m + -7) + 8 (-54 + -6m) + -6(2m + -1) = 5(m + -7) + 8 Reorder the terms: -54 + -6m + -6(-1 + 2m) = 5(m + -7) + 8 -54 + -6m + (-1 * -6 + 2m * -6) = 5(m + -7) + 8 -54 + -6m + (6 + -12m) = 5(m + -7) + 8 Reorder the terms: -54 + 6 + -6m + -12m = 5(m + -7) + 8 Combine like terms: -54 + 6 = -48 -48 + -6m + -12m = 5(m + -7) + 8 Combine like terms: -6m + -12m = -18m -48 + -18m = 5(m + -7) + 8 Reorder the terms: -48 + -18m = 5(-7 + m) + 8 -48 + -18m = (-7 * 5 + m * 5) + 8 -48 + -18m = (-35 + 5m) + 8 Reorder the terms: -48 + -18m = -35 + 8 + 5m Combine like terms: -35 + 8 = -27 -48 + -18m = -27 + 5m Solving -48 + -18m = -27 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -48 + -18m + -5m = -27 + 5m + -5m Combine like terms: -18m + -5m = -23m -48 + -23m = -27 + 5m + -5m Combine like terms: 5m + -5m = 0 -48 + -23m = -27 + 0 -48 + -23m = -27 Add '48' to each side of the equation. -48 + 48 + -23m = -27 + 48 Combine like terms: -48 + 48 = 0 0 + -23m = -27 + 48 -23m = -27 + 48 Combine like terms: -27 + 48 = 21 -23m = 21 Divide each side by '-23'. m = -0.9130434783 Simplifying m = -0.9130434783
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