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Simplifying 7(m + 7) + -1(8m + 1) = -10(m + -6) + 1 Reorder the terms: 7(7 + m) + -1(8m + 1) = -10(m + -6) + 1 (7 * 7 + m * 7) + -1(8m + 1) = -10(m + -6) + 1 (49 + 7m) + -1(8m + 1) = -10(m + -6) + 1 Reorder the terms: 49 + 7m + -1(1 + 8m) = -10(m + -6) + 1 49 + 7m + (1 * -1 + 8m * -1) = -10(m + -6) + 1 49 + 7m + (-1 + -8m) = -10(m + -6) + 1 Reorder the terms: 49 + -1 + 7m + -8m = -10(m + -6) + 1 Combine like terms: 49 + -1 = 48 48 + 7m + -8m = -10(m + -6) + 1 Combine like terms: 7m + -8m = -1m 48 + -1m = -10(m + -6) + 1 Reorder the terms: 48 + -1m = -10(-6 + m) + 1 48 + -1m = (-6 * -10 + m * -10) + 1 48 + -1m = (60 + -10m) + 1 Reorder the terms: 48 + -1m = 60 + 1 + -10m Combine like terms: 60 + 1 = 61 48 + -1m = 61 + -10m Solving 48 + -1m = 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. 48 + -1m + 10m = 61 + -10m + 10m Combine like terms: -1m + 10m = 9m 48 + 9m = 61 + -10m + 10m Combine like terms: -10m + 10m = 0 48 + 9m = 61 + 0 48 + 9m = 61 Add '-48' to each side of the equation. 48 + -48 + 9m = 61 + -48 Combine like terms: 48 + -48 = 0 0 + 9m = 61 + -48 9m = 61 + -48 Combine like terms: 61 + -48 = 13 9m = 13 Divide each side by '9'. m = 1.444444444 Simplifying m = 1.444444444
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