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Simplifying 15 + -7t + -19 = 8t + 36 + -5t Reorder the terms: 15 + -19 + -7t = 8t + 36 + -5t Combine like terms: 15 + -19 = -4 -4 + -7t = 8t + 36 + -5t Reorder the terms: -4 + -7t = 36 + 8t + -5t Combine like terms: 8t + -5t = 3t -4 + -7t = 36 + 3t Solving -4 + -7t = 36 + 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. -4 + -7t + -3t = 36 + 3t + -3t Combine like terms: -7t + -3t = -10t -4 + -10t = 36 + 3t + -3t Combine like terms: 3t + -3t = 0 -4 + -10t = 36 + 0 -4 + -10t = 36 Add '4' to each side of the equation. -4 + 4 + -10t = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -10t = 36 + 4 -10t = 36 + 4 Combine like terms: 36 + 4 = 40 -10t = 40 Divide each side by '-10'. t = -4 Simplifying t = -4
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