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Simplifying 8t + -5m + 3m + -7t + -1(-3t) + m = 0 Remove parenthesis around (-3t) 8t + -5m + 3m + -7t + -1 * -3t + m = 0 Multiply -1 * -3 8t + -5m + 3m + -7t + 3t + m = 0 Reorder the terms: -5m + 3m + m + 8t + -7t + 3t = 0 Combine like terms: -5m + 3m = -2m -2m + m + 8t + -7t + 3t = 0 Combine like terms: -2m + m = -1m -1m + 8t + -7t + 3t = 0 Combine like terms: 8t + -7t = 1t -1m + 1t + 3t = 0 Combine like terms: 1t + 3t = 4t -1m + 4t = 0 Solving -1m + 4t = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4t' to each side of the equation. -1m + 4t + -4t = 0 + -4t Combine like terms: 4t + -4t = 0 -1m + 0 = 0 + -4t -1m = 0 + -4t Remove the zero: -1m = -4t Divide each side by '-1'. m = 4t Simplifying m = 4t
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