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Simplifying -29 + 7t + 11m + -2t + -3m + -21 = 0 Reorder the terms: -29 + -21 + 11m + -3m + 7t + -2t = 0 Combine like terms: -29 + -21 = -50 -50 + 11m + -3m + 7t + -2t = 0 Combine like terms: 11m + -3m = 8m -50 + 8m + 7t + -2t = 0 Combine like terms: 7t + -2t = 5t -50 + 8m + 5t = 0 Solving -50 + 8m + 5t = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 8m + 50 + 5t = 0 + 50 Reorder the terms: -50 + 50 + 8m + 5t = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 8m + 5t = 0 + 50 8m + 5t = 0 + 50 Combine like terms: 0 + 50 = 50 8m + 5t = 50 Add '-5t' to each side of the equation. 8m + 5t + -5t = 50 + -5t Combine like terms: 5t + -5t = 0 8m + 0 = 50 + -5t 8m = 50 + -5t Divide each side by '8'. m = 6.25 + -0.625t Simplifying m = 6.25 + -0.625t
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