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Simplifying -30 + 5m = 4(8m + 6) Reorder the terms: -30 + 5m = 4(6 + 8m) -30 + 5m = (6 * 4 + 8m * 4) -30 + 5m = (24 + 32m) Solving -30 + 5m = 24 + 32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32m' to each side of the equation. -30 + 5m + -32m = 24 + 32m + -32m Combine like terms: 5m + -32m = -27m -30 + -27m = 24 + 32m + -32m Combine like terms: 32m + -32m = 0 -30 + -27m = 24 + 0 -30 + -27m = 24 Add '30' to each side of the equation. -30 + 30 + -27m = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -27m = 24 + 30 -27m = 24 + 30 Combine like terms: 24 + 30 = 54 -27m = 54 Divide each side by '-27'. m = -2 Simplifying m = -2
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