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Simplifying 6xm + 7 + 2 + 6 + -2t = 0 Reorder the terms: 7 + 2 + 6 + 6mx + -2t = 0 Combine like terms: 7 + 2 = 9 9 + 6 + 6mx + -2t = 0 Combine like terms: 9 + 6 = 15 15 + 6mx + -2t = 0 Solving 15 + 6mx + -2t = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 6mx + -15 + -2t = 0 + -15 Reorder the terms: 15 + -15 + 6mx + -2t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 6mx + -2t = 0 + -15 6mx + -2t = 0 + -15 Combine like terms: 0 + -15 = -15 6mx + -2t = -15 Add '2t' to each side of the equation. 6mx + -2t + 2t = -15 + 2t Combine like terms: -2t + 2t = 0 6mx + 0 = -15 + 2t 6mx = -15 + 2t Divide each side by '6x'. m = -2.5x-1 + 0.3333333333tx-1 Simplifying m = -2.5x-1 + 0.3333333333tx-1 Reorder the terms: m = 0.3333333333tx-1 + -2.5x-1
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