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Simplifying 8(-2 + -3m) = 3m + 38 (-2 * 8 + -3m * 8) = 3m + 38 (-16 + -24m) = 3m + 38 Reorder the terms: -16 + -24m = 38 + 3m Solving -16 + -24m = 38 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -16 + -24m + -3m = 38 + 3m + -3m Combine like terms: -24m + -3m = -27m -16 + -27m = 38 + 3m + -3m Combine like terms: 3m + -3m = 0 -16 + -27m = 38 + 0 -16 + -27m = 38 Add '16' to each side of the equation. -16 + 16 + -27m = 38 + 16 Combine like terms: -16 + 16 = 0 0 + -27m = 38 + 16 -27m = 38 + 16 Combine like terms: 38 + 16 = 54 -27m = 54 Divide each side by '-27'. m = -2 Simplifying m = -2
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