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Simplifying 8(-4 + -2m) + 2(7m + 6) = -34 (-4 * 8 + -2m * 8) + 2(7m + 6) = -34 (-32 + -16m) + 2(7m + 6) = -34 Reorder the terms: -32 + -16m + 2(6 + 7m) = -34 -32 + -16m + (6 * 2 + 7m * 2) = -34 -32 + -16m + (12 + 14m) = -34 Reorder the terms: -32 + 12 + -16m + 14m = -34 Combine like terms: -32 + 12 = -20 -20 + -16m + 14m = -34 Combine like terms: -16m + 14m = -2m -20 + -2m = -34 Solving -20 + -2m = -34 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -2m = -34 + 20 Combine like terms: -20 + 20 = 0 0 + -2m = -34 + 20 -2m = -34 + 20 Combine like terms: -34 + 20 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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