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Simplifying 10 + -7t + -19 = 7t + 31 + -4t Reorder the terms: 10 + -19 + -7t = 7t + 31 + -4t Combine like terms: 10 + -19 = -9 -9 + -7t = 7t + 31 + -4t Reorder the terms: -9 + -7t = 31 + 7t + -4t Combine like terms: 7t + -4t = 3t -9 + -7t = 31 + 3t Solving -9 + -7t = 31 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -9 + -7t + -3t = 31 + 3t + -3t Combine like terms: -7t + -3t = -10t -9 + -10t = 31 + 3t + -3t Combine like terms: 3t + -3t = 0 -9 + -10t = 31 + 0 -9 + -10t = 31 Add '9' to each side of the equation. -9 + 9 + -10t = 31 + 9 Combine like terms: -9 + 9 = 0 0 + -10t = 31 + 9 -10t = 31 + 9 Combine like terms: 31 + 9 = 40 -10t = 40 Divide each side by '-10'. t = -4 Simplifying t = -4
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