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Simplifying 5m + -2(8m + 9) = 2m + 21 Reorder the terms: 5m + -2(9 + 8m) = 2m + 21 5m + (9 * -2 + 8m * -2) = 2m + 21 5m + (-18 + -16m) = 2m + 21 Reorder the terms: -18 + 5m + -16m = 2m + 21 Combine like terms: 5m + -16m = -11m -18 + -11m = 2m + 21 Reorder the terms: -18 + -11m = 21 + 2m Solving -18 + -11m = 21 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -18 + -11m + -2m = 21 + 2m + -2m Combine like terms: -11m + -2m = -13m -18 + -13m = 21 + 2m + -2m Combine like terms: 2m + -2m = 0 -18 + -13m = 21 + 0 -18 + -13m = 21 Add '18' to each side of the equation. -18 + 18 + -13m = 21 + 18 Combine like terms: -18 + 18 = 0 0 + -13m = 21 + 18 -13m = 21 + 18 Combine like terms: 21 + 18 = 39 -13m = 39 Divide each side by '-13'. m = -3 Simplifying m = -3
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