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Simplifying 10(m + 3) + -8(1 + 4m) = 0 Reorder the terms: 10(3 + m) + -8(1 + 4m) = 0 (3 * 10 + m * 10) + -8(1 + 4m) = 0 (30 + 10m) + -8(1 + 4m) = 0 30 + 10m + (1 * -8 + 4m * -8) = 0 30 + 10m + (-8 + -32m) = 0 Reorder the terms: 30 + -8 + 10m + -32m = 0 Combine like terms: 30 + -8 = 22 22 + 10m + -32m = 0 Combine like terms: 10m + -32m = -22m 22 + -22m = 0 Solving 22 + -22m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -22m = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -22m = 0 + -22 -22m = 0 + -22 Combine like terms: 0 + -22 = -22 -22m = -22 Divide each side by '-22'. m = 1 Simplifying m = 1
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