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Simplifying -4(-8 + m) = -34 + 7m (-8 * -4 + m * -4) = -34 + 7m (32 + -4m) = -34 + 7m Solving 32 + -4m = -34 + 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. 32 + -4m + -7m = -34 + 7m + -7m Combine like terms: -4m + -7m = -11m 32 + -11m = -34 + 7m + -7m Combine like terms: 7m + -7m = 0 32 + -11m = -34 + 0 32 + -11m = -34 Add '-32' to each side of the equation. 32 + -32 + -11m = -34 + -32 Combine like terms: 32 + -32 = 0 0 + -11m = -34 + -32 -11m = -34 + -32 Combine like terms: -34 + -32 = -66 -11m = -66 Divide each side by '-11'. m = 6 Simplifying m = 6
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