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Simplifying 7(m + 7) + -2(8m + 1) = -10(m + -6) + 1 Reorder the terms: 7(7 + m) + -2(8m + 1) = -10(m + -6) + 1 (7 * 7 + m * 7) + -2(8m + 1) = -10(m + -6) + 1 (49 + 7m) + -2(8m + 1) = -10(m + -6) + 1 Reorder the terms: 49 + 7m + -2(1 + 8m) = -10(m + -6) + 1 49 + 7m + (1 * -2 + 8m * -2) = -10(m + -6) + 1 49 + 7m + (-2 + -16m) = -10(m + -6) + 1 Reorder the terms: 49 + -2 + 7m + -16m = -10(m + -6) + 1 Combine like terms: 49 + -2 = 47 47 + 7m + -16m = -10(m + -6) + 1 Combine like terms: 7m + -16m = -9m 47 + -9m = -10(m + -6) + 1 Reorder the terms: 47 + -9m = -10(-6 + m) + 1 47 + -9m = (-6 * -10 + m * -10) + 1 47 + -9m = (60 + -10m) + 1 Reorder the terms: 47 + -9m = 60 + 1 + -10m Combine like terms: 60 + 1 = 61 47 + -9m = 61 + -10m Solving 47 + -9m = 61 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 47 + -9m + 10m = 61 + -10m + 10m Combine like terms: -9m + 10m = 1m 47 + 1m = 61 + -10m + 10m Combine like terms: -10m + 10m = 0 47 + 1m = 61 + 0 47 + 1m = 61 Add '-47' to each side of the equation. 47 + -47 + 1m = 61 + -47 Combine like terms: 47 + -47 = 0 0 + 1m = 61 + -47 1m = 61 + -47 Combine like terms: 61 + -47 = 14 1m = 14 Divide each side by '1'. m = 14 Simplifying m = 14
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