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Simplifying -21 + 14z + 10m + -2z + -3m + 28 = 0 Reorder the terms: -21 + 28 + 10m + -3m + 14z + -2z = 0 Combine like terms: -21 + 28 = 7 7 + 10m + -3m + 14z + -2z = 0 Combine like terms: 10m + -3m = 7m 7 + 7m + 14z + -2z = 0 Combine like terms: 14z + -2z = 12z 7 + 7m + 12z = 0 Solving 7 + 7m + 12z = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 7m + -7 + 12z = 0 + -7 Reorder the terms: 7 + -7 + 7m + 12z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7m + 12z = 0 + -7 7m + 12z = 0 + -7 Combine like terms: 0 + -7 = -7 7m + 12z = -7 Add '-12z' to each side of the equation. 7m + 12z + -12z = -7 + -12z Combine like terms: 12z + -12z = 0 7m + 0 = -7 + -12z 7m = -7 + -12z Divide each side by '7'. m = -1 + -1.714285714z Simplifying m = -1 + -1.714285714z
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