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Simplifying 42m = 7(2m + -1) + -9 + 8(m + 2) Reorder the terms: 42m = 7(-1 + 2m) + -9 + 8(m + 2) 42m = (-1 * 7 + 2m * 7) + -9 + 8(m + 2) 42m = (-7 + 14m) + -9 + 8(m + 2) Reorder the terms: 42m = -7 + 14m + -9 + 8(2 + m) 42m = -7 + 14m + -9 + (2 * 8 + m * 8) 42m = -7 + 14m + -9 + (16 + 8m) Reorder the terms: 42m = -7 + -9 + 16 + 14m + 8m Combine like terms: -7 + -9 = -16 42m = -16 + 16 + 14m + 8m Combine like terms: -16 + 16 = 0 42m = 0 + 14m + 8m 42m = 14m + 8m Combine like terms: 14m + 8m = 22m 42m = 22m Solving 42m = 22m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-22m' to each side of the equation. 42m + -22m = 22m + -22m Combine like terms: 42m + -22m = 20m 20m = 22m + -22m Combine like terms: 22m + -22m = 0 20m = 0 Divide each side by '20'. m = 0.0 Simplifying m = 0.0
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