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Simplifying 4 + 10t + 12m + -3t + -2m + 15 = 0 Reorder the terms: 4 + 15 + 12m + -2m + 10t + -3t = 0 Combine like terms: 4 + 15 = 19 19 + 12m + -2m + 10t + -3t = 0 Combine like terms: 12m + -2m = 10m 19 + 10m + 10t + -3t = 0 Combine like terms: 10t + -3t = 7t 19 + 10m + 7t = 0 Solving 19 + 10m + 7t = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + 10m + -19 + 7t = 0 + -19 Reorder the terms: 19 + -19 + 10m + 7t = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 10m + 7t = 0 + -19 10m + 7t = 0 + -19 Combine like terms: 0 + -19 = -19 10m + 7t = -19 Add '-7t' to each side of the equation. 10m + 7t + -7t = -19 + -7t Combine like terms: 7t + -7t = 0 10m + 0 = -19 + -7t 10m = -19 + -7t Divide each side by '10'. m = -1.9 + -0.7t Simplifying m = -1.9 + -0.7t
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