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Simplifying -6(8m + 5) + -5 = -7(5 + M) + -6m Reorder the terms: -6(5 + 8m) + -5 = -7(5 + M) + -6m (5 * -6 + 8m * -6) + -5 = -7(5 + M) + -6m (-30 + -48m) + -5 = -7(5 + M) + -6m Reorder the terms: -30 + -5 + -48m = -7(5 + M) + -6m Combine like terms: -30 + -5 = -35 -35 + -48m = -7(5 + M) + -6m -35 + -48m = (5 * -7 + M * -7) + -6m -35 + -48m = (-35 + -7M) + -6m Add '35' to each side of the equation. -35 + 35 + -48m = -35 + -7M + 35 + -6m Combine like terms: -35 + 35 = 0 0 + -48m = -35 + -7M + 35 + -6m -48m = -35 + -7M + 35 + -6m Reorder the terms: -48m = -35 + 35 + -7M + -6m Combine like terms: -35 + 35 = 0 -48m = 0 + -7M + -6m -48m = -7M + -6m Solving -48m = -7M + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -48m + 6m = -7M + -6m + 6m Combine like terms: -48m + 6m = -42m -42m = -7M + -6m + 6m Combine like terms: -6m + 6m = 0 -42m = -7M + 0 -42m = -7M Divide each side by '-42'. m = 0.1666666667M Simplifying m = 0.1666666667M
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