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Simplifying 6t + -4t + 10 = 7t + 8 + -3t + 5 Reorder the terms: 10 + 6t + -4t = 7t + 8 + -3t + 5 Combine like terms: 6t + -4t = 2t 10 + 2t = 7t + 8 + -3t + 5 Reorder the terms: 10 + 2t = 8 + 5 + 7t + -3t Combine like terms: 8 + 5 = 13 10 + 2t = 13 + 7t + -3t Combine like terms: 7t + -3t = 4t 10 + 2t = 13 + 4t Solving 10 + 2t = 13 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 10 + 2t + -4t = 13 + 4t + -4t Combine like terms: 2t + -4t = -2t 10 + -2t = 13 + 4t + -4t Combine like terms: 4t + -4t = 0 10 + -2t = 13 + 0 10 + -2t = 13 Add '-10' to each side of the equation. 10 + -10 + -2t = 13 + -10 Combine like terms: 10 + -10 = 0 0 + -2t = 13 + -10 -2t = 13 + -10 Combine like terms: 13 + -10 = 3 -2t = 3 Divide each side by '-2'. t = -1.5 Simplifying t = -1.5
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