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Simplifying 8v + 1w + 7 + -8v + 2m = 0 Reorder the terms: 7 + 2m + 8v + -8v + 1w = 0 Combine like terms: 8v + -8v = 0 7 + 2m + 0 + 1w = 0 7 + 2m + 1w = 0 Solving 7 + 2m + 1w = 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 + 2m + -7 + 1w = 0 + -7 Reorder the terms: 7 + -7 + 2m + 1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2m + 1w = 0 + -7 2m + 1w = 0 + -7 Combine like terms: 0 + -7 = -7 2m + 1w = -7 Add '-1w' to each side of the equation. 2m + 1w + -1w = -7 + -1w Combine like terms: 1w + -1w = 0 2m + 0 = -7 + -1w 2m = -7 + -1w Divide each side by '2'. m = -3.5 + -0.5w Simplifying m = -3.5 + -0.5w
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