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Simplifying -6(-6 + 7m) + 4m = -3m + -34 (-6 * -6 + 7m * -6) + 4m = -3m + -34 (36 + -42m) + 4m = -3m + -34 Combine like terms: -42m + 4m = -38m 36 + -38m = -3m + -34 Reorder the terms: 36 + -38m = -34 + -3m Solving 36 + -38m = -34 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 36 + -38m + 3m = -34 + -3m + 3m Combine like terms: -38m + 3m = -35m 36 + -35m = -34 + -3m + 3m Combine like terms: -3m + 3m = 0 36 + -35m = -34 + 0 36 + -35m = -34 Add '-36' to each side of the equation. 36 + -36 + -35m = -34 + -36 Combine like terms: 36 + -36 = 0 0 + -35m = -34 + -36 -35m = -34 + -36 Combine like terms: -34 + -36 = -70 -35m = -70 Divide each side by '-35'. m = 2 Simplifying m = 2
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