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Simplifying 8(m + -10) = 7(m + 5) Reorder the terms: 8(-10 + m) = 7(m + 5) (-10 * 8 + m * 8) = 7(m + 5) (-80 + 8m) = 7(m + 5) Reorder the terms: -80 + 8m = 7(5 + m) -80 + 8m = (5 * 7 + m * 7) -80 + 8m = (35 + 7m) Solving -80 + 8m = 35 + 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. -80 + 8m + -7m = 35 + 7m + -7m Combine like terms: 8m + -7m = 1m -80 + 1m = 35 + 7m + -7m Combine like terms: 7m + -7m = 0 -80 + 1m = 35 + 0 -80 + 1m = 35 Add '80' to each side of the equation. -80 + 80 + 1m = 35 + 80 Combine like terms: -80 + 80 = 0 0 + 1m = 35 + 80 1m = 35 + 80 Combine like terms: 35 + 80 = 115 1m = 115 Divide each side by '1'. m = 115 Simplifying m = 115
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