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Simplifying 2(m + -8) + 7 = 5(m + 2) + 3m + -19 Reorder the terms: 2(-8 + m) + 7 = 5(m + 2) + 3m + -19 (-8 * 2 + m * 2) + 7 = 5(m + 2) + 3m + -19 (-16 + 2m) + 7 = 5(m + 2) + 3m + -19 Reorder the terms: -16 + 7 + 2m = 5(m + 2) + 3m + -19 Combine like terms: -16 + 7 = -9 -9 + 2m = 5(m + 2) + 3m + -19 Reorder the terms: -9 + 2m = 5(2 + m) + 3m + -19 -9 + 2m = (2 * 5 + m * 5) + 3m + -19 -9 + 2m = (10 + 5m) + 3m + -19 Reorder the terms: -9 + 2m = 10 + -19 + 5m + 3m Combine like terms: 10 + -19 = -9 -9 + 2m = -9 + 5m + 3m Combine like terms: 5m + 3m = 8m -9 + 2m = -9 + 8m Add '9' to each side of the equation. -9 + 9 + 2m = -9 + 9 + 8m Combine like terms: -9 + 9 = 0 0 + 2m = -9 + 9 + 8m 2m = -9 + 9 + 8m Combine like terms: -9 + 9 = 0 2m = 0 + 8m 2m = 8m Solving 2m = 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 2m + -8m = 8m + -8m Combine like terms: 2m + -8m = -6m -6m = 8m + -8m Combine like terms: 8m + -8m = 0 -6m = 0 Divide each side by '-6'. m = 0 Simplifying m = 0
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