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Simplifying -5m + 19 = 6(3m + -3) + -3(-7 + 5m) Reorder the terms: 19 + -5m = 6(3m + -3) + -3(-7 + 5m) Reorder the terms: 19 + -5m = 6(-3 + 3m) + -3(-7 + 5m) 19 + -5m = (-3 * 6 + 3m * 6) + -3(-7 + 5m) 19 + -5m = (-18 + 18m) + -3(-7 + 5m) 19 + -5m = -18 + 18m + (-7 * -3 + 5m * -3) 19 + -5m = -18 + 18m + (21 + -15m) Reorder the terms: 19 + -5m = -18 + 21 + 18m + -15m Combine like terms: -18 + 21 = 3 19 + -5m = 3 + 18m + -15m Combine like terms: 18m + -15m = 3m 19 + -5m = 3 + 3m Solving 19 + -5m = 3 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 19 + -5m + -3m = 3 + 3m + -3m Combine like terms: -5m + -3m = -8m 19 + -8m = 3 + 3m + -3m Combine like terms: 3m + -3m = 0 19 + -8m = 3 + 0 19 + -8m = 3 Add '-19' to each side of the equation. 19 + -19 + -8m = 3 + -19 Combine like terms: 19 + -19 = 0 0 + -8m = 3 + -19 -8m = 3 + -19 Combine like terms: 3 + -19 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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