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Simplifying 7m + -34 = 6m + -4(-7 + -8m) Reorder the terms: -34 + 7m = 6m + -4(-7 + -8m) -34 + 7m = 6m + (-7 * -4 + -8m * -4) -34 + 7m = 6m + (28 + 32m) Reorder the terms: -34 + 7m = 28 + 6m + 32m Combine like terms: 6m + 32m = 38m -34 + 7m = 28 + 38m Solving -34 + 7m = 28 + 38m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-38m' to each side of the equation. -34 + 7m + -38m = 28 + 38m + -38m Combine like terms: 7m + -38m = -31m -34 + -31m = 28 + 38m + -38m Combine like terms: 38m + -38m = 0 -34 + -31m = 28 + 0 -34 + -31m = 28 Add '34' to each side of the equation. -34 + 34 + -31m = 28 + 34 Combine like terms: -34 + 34 = 0 0 + -31m = 28 + 34 -31m = 28 + 34 Combine like terms: 28 + 34 = 62 -31m = 62 Divide each side by '-31'. m = -2 Simplifying m = -2
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