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Simplifying 7m + 8(m + z) = 0 7m + (m * 8 + z * 8) = 0 7m + (8m + 8z) = 0 Combine like terms: 7m + 8m = 15m 15m + 8z = 0 Solving 15m + 8z = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8z' to each side of the equation. 15m + 8z + -8z = 0 + -8z Combine like terms: 8z + -8z = 0 15m + 0 = 0 + -8z 15m = 0 + -8z Remove the zero: 15m = -8z Divide each side by '15'. m = -0.5333333333z Simplifying m = -0.5333333333z
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