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Simplifying m + -5 = 0.50(12 + -14m) Reorder the terms: -5 + m = 0.50(12 + -14m) -5 + m = (12 * 0.50 + -14m * 0.50) -5 + m = (6 + -7m) Solving -5 + m = 6 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -5 + m + 7m = 6 + -7m + 7m Combine like terms: m + 7m = 8m -5 + 8m = 6 + -7m + 7m Combine like terms: -7m + 7m = 0 -5 + 8m = 6 + 0 -5 + 8m = 6 Add '5' to each side of the equation. -5 + 5 + 8m = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 8m = 6 + 5 8m = 6 + 5 Combine like terms: 6 + 5 = 11 8m = 11 Divide each side by '8'. m = 1.375 Simplifying m = 1.375
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