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Simplifying 2 + 6(2 + -8m) = -27 + -7m 2 + (2 * 6 + -8m * 6) = -27 + -7m 2 + (12 + -48m) = -27 + -7m Combine like terms: 2 + 12 = 14 14 + -48m = -27 + -7m Solving 14 + -48m = -27 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 14 + -48m + 7m = -27 + -7m + 7m Combine like terms: -48m + 7m = -41m 14 + -41m = -27 + -7m + 7m Combine like terms: -7m + 7m = 0 14 + -41m = -27 + 0 14 + -41m = -27 Add '-14' to each side of the equation. 14 + -14 + -41m = -27 + -14 Combine like terms: 14 + -14 = 0 0 + -41m = -27 + -14 -41m = -27 + -14 Combine like terms: -27 + -14 = -41 -41m = -41 Divide each side by '-41'. m = 1 Simplifying m = 1
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