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Simplifying -7(6m + -6) = -4m + -34 Reorder the terms: -7(-6 + 6m) = -4m + -34 (-6 * -7 + 6m * -7) = -4m + -34 (42 + -42m) = -4m + -34 Reorder the terms: 42 + -42m = -34 + -4m Solving 42 + -42m = -34 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 42 + -42m + 4m = -34 + -4m + 4m Combine like terms: -42m + 4m = -38m 42 + -38m = -34 + -4m + 4m Combine like terms: -4m + 4m = 0 42 + -38m = -34 + 0 42 + -38m = -34 Add '-42' to each side of the equation. 42 + -42 + -38m = -34 + -42 Combine like terms: 42 + -42 = 0 0 + -38m = -34 + -42 -38m = -34 + -42 Combine like terms: -34 + -42 = -76 -38m = -76 Divide each side by '-38'. m = 2 Simplifying m = 2
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