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Simplifying 5(8m + -3) + 6 = 7 + -6(m + -5) Reorder the terms: 5(-3 + 8m) + 6 = 7 + -6(m + -5) (-3 * 5 + 8m * 5) + 6 = 7 + -6(m + -5) (-15 + 40m) + 6 = 7 + -6(m + -5) Reorder the terms: -15 + 6 + 40m = 7 + -6(m + -5) Combine like terms: -15 + 6 = -9 -9 + 40m = 7 + -6(m + -5) Reorder the terms: -9 + 40m = 7 + -6(-5 + m) -9 + 40m = 7 + (-5 * -6 + m * -6) -9 + 40m = 7 + (30 + -6m) Combine like terms: 7 + 30 = 37 -9 + 40m = 37 + -6m Solving -9 + 40m = 37 + -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. -9 + 40m + 6m = 37 + -6m + 6m Combine like terms: 40m + 6m = 46m -9 + 46m = 37 + -6m + 6m Combine like terms: -6m + 6m = 0 -9 + 46m = 37 + 0 -9 + 46m = 37 Add '9' to each side of the equation. -9 + 9 + 46m = 37 + 9 Combine like terms: -9 + 9 = 0 0 + 46m = 37 + 9 46m = 37 + 9 Combine like terms: 37 + 9 = 46 46m = 46 Divide each side by '46'. m = 1 Simplifying m = 1
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