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Simplifying 7(m + -4) + 8m = 14 + 8m Reorder the terms: 7(-4 + m) + 8m = 14 + 8m (-4 * 7 + m * 7) + 8m = 14 + 8m (-28 + 7m) + 8m = 14 + 8m Combine like terms: 7m + 8m = 15m -28 + 15m = 14 + 8m Solving -28 + 15m = 14 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -28 + 15m + -8m = 14 + 8m + -8m Combine like terms: 15m + -8m = 7m -28 + 7m = 14 + 8m + -8m Combine like terms: 8m + -8m = 0 -28 + 7m = 14 + 0 -28 + 7m = 14 Add '28' to each side of the equation. -28 + 28 + 7m = 14 + 28 Combine like terms: -28 + 28 = 0 0 + 7m = 14 + 28 7m = 14 + 28 Combine like terms: 14 + 28 = 42 7m = 42 Divide each side by '7'. m = 6 Simplifying m = 6
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