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Simplifying 2m + -1(7 + -5z) + -21 = 0 2m + (7 * -1 + -5z * -1) + -21 = 0 2m + (-7 + 5z) + -21 = 0 Reorder the terms: -7 + -21 + 2m + 5z = 0 Combine like terms: -7 + -21 = -28 -28 + 2m + 5z = 0 Solving -28 + 2m + 5z = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 2m + 28 + 5z = 0 + 28 Reorder the terms: -28 + 28 + 2m + 5z = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 2m + 5z = 0 + 28 2m + 5z = 0 + 28 Combine like terms: 0 + 28 = 28 2m + 5z = 28 Add '-5z' to each side of the equation. 2m + 5z + -5z = 28 + -5z Combine like terms: 5z + -5z = 0 2m + 0 = 28 + -5z 2m = 28 + -5z Divide each side by '2'. m = 14 + -2.5z Simplifying m = 14 + -2.5z
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