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Simplifying -6(2m + 1) + -7(m + 2) = 2m + -1m Reorder the terms: -6(1 + 2m) + -7(m + 2) = 2m + -1m (1 * -6 + 2m * -6) + -7(m + 2) = 2m + -1m (-6 + -12m) + -7(m + 2) = 2m + -1m Reorder the terms: -6 + -12m + -7(2 + m) = 2m + -1m -6 + -12m + (2 * -7 + m * -7) = 2m + -1m -6 + -12m + (-14 + -7m) = 2m + -1m Reorder the terms: -6 + -14 + -12m + -7m = 2m + -1m Combine like terms: -6 + -14 = -20 -20 + -12m + -7m = 2m + -1m Combine like terms: -12m + -7m = -19m -20 + -19m = 2m + -1m Combine like terms: 2m + -1m = 1m -20 + -19m = 1m Solving -20 + -19m = 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -20 + -19m + -1m = 1m + -1m Combine like terms: -19m + -1m = -20m -20 + -20m = 1m + -1m Combine like terms: 1m + -1m = 0 -20 + -20m = 0 Add '20' to each side of the equation. -20 + 20 + -20m = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -20m = 0 + 20 -20m = 0 + 20 Combine like terms: 0 + 20 = 20 -20m = 20 Divide each side by '-20'. m = -1 Simplifying m = -1
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