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Simplifying 8m + 34 = -5(2 + -6m) Reorder the terms: 34 + 8m = -5(2 + -6m) 34 + 8m = (2 * -5 + -6m * -5) 34 + 8m = (-10 + 30m) Solving 34 + 8m = -10 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. 34 + 8m + -30m = -10 + 30m + -30m Combine like terms: 8m + -30m = -22m 34 + -22m = -10 + 30m + -30m Combine like terms: 30m + -30m = 0 34 + -22m = -10 + 0 34 + -22m = -10 Add '-34' to each side of the equation. 34 + -34 + -22m = -10 + -34 Combine like terms: 34 + -34 = 0 0 + -22m = -10 + -34 -22m = -10 + -34 Combine like terms: -10 + -34 = -44 -22m = -44 Divide each side by '-22'. m = 2 Simplifying m = 2
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