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