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Simplifying 19 + 7z + 15m + -4z + -5m + -7 = 0 Reorder the terms: 19 + -7 + 15m + -5m + 7z + -4z = 0 Combine like terms: 19 + -7 = 12 12 + 15m + -5m + 7z + -4z = 0 Combine like terms: 15m + -5m = 10m 12 + 10m + 7z + -4z = 0 Combine like terms: 7z + -4z = 3z 12 + 10m + 3z = 0 Solving 12 + 10m + 3z = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 10m + -12 + 3z = 0 + -12 Reorder the terms: 12 + -12 + 10m + 3z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 10m + 3z = 0 + -12 10m + 3z = 0 + -12 Combine like terms: 0 + -12 = -12 10m + 3z = -12 Add '-3z' to each side of the equation. 10m + 3z + -3z = -12 + -3z Combine like terms: 3z + -3z = 0 10m + 0 = -12 + -3z 10m = -12 + -3z Divide each side by '10'. m = -1.2 + -0.3z Simplifying m = -1.2 + -0.3z
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