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Simplifying 8(m + -6) + -1(5m + -7) = 0 Reorder the terms: 8(-6 + m) + -1(5m + -7) = 0 (-6 * 8 + m * 8) + -1(5m + -7) = 0 (-48 + 8m) + -1(5m + -7) = 0 Reorder the terms: -48 + 8m + -1(-7 + 5m) = 0 -48 + 8m + (-7 * -1 + 5m * -1) = 0 -48 + 8m + (7 + -5m) = 0 Reorder the terms: -48 + 7 + 8m + -5m = 0 Combine like terms: -48 + 7 = -41 -41 + 8m + -5m = 0 Combine like terms: 8m + -5m = 3m -41 + 3m = 0 Solving -41 + 3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 3m = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 3m = 0 + 41 3m = 0 + 41 Combine like terms: 0 + 41 = 41 3m = 41 Divide each side by '3'. m = 13.66666667 Simplifying m = 13.66666667
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