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Simplifying M + -1(2m + 3) = 6(m + 1) Reorder the terms: M + -1(3 + 2m) = 6(m + 1) M + (3 * -1 + 2m * -1) = 6(m + 1) M + (-3 + -2m) = 6(m + 1) Reorder the terms: -3 + M + -2m = 6(m + 1) Reorder the terms: -3 + M + -2m = 6(1 + m) -3 + M + -2m = (1 * 6 + m * 6) -3 + M + -2m = (6 + 6m) Solving -3 + M + -2m = 6 + 6m Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '3' to each side of the equation. -3 + M + 3 + -2m = 6 + 3 + 6m Reorder the terms: -3 + 3 + M + -2m = 6 + 3 + 6m Combine like terms: -3 + 3 = 0 0 + M + -2m = 6 + 3 + 6m M + -2m = 6 + 3 + 6m Combine like terms: 6 + 3 = 9 M + -2m = 9 + 6m Add '2m' to each side of the equation. M + -2m + 2m = 9 + 6m + 2m Combine like terms: -2m + 2m = 0 M + 0 = 9 + 6m + 2m M = 9 + 6m + 2m Combine like terms: 6m + 2m = 8m M = 9 + 8m Simplifying M = 9 + 8m
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