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Simplifying 8 + 3t + -5 = 7t + 19 + -2t Reorder the terms: 8 + -5 + 3t = 7t + 19 + -2t Combine like terms: 8 + -5 = 3 3 + 3t = 7t + 19 + -2t Reorder the terms: 3 + 3t = 19 + 7t + -2t Combine like terms: 7t + -2t = 5t 3 + 3t = 19 + 5t Solving 3 + 3t = 19 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 3 + 3t + -5t = 19 + 5t + -5t Combine like terms: 3t + -5t = -2t 3 + -2t = 19 + 5t + -5t Combine like terms: 5t + -5t = 0 3 + -2t = 19 + 0 3 + -2t = 19 Add '-3' to each side of the equation. 3 + -3 + -2t = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 19 + -3 -2t = 19 + -3 Combine like terms: 19 + -3 = 16 -2t = 16 Divide each side by '-2'. t = -8 Simplifying t = -8
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