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Simplifying 7 + 3t + -5 = 7t + 10 + -3t Reorder the terms: 7 + -5 + 3t = 7t + 10 + -3t Combine like terms: 7 + -5 = 2 2 + 3t = 7t + 10 + -3t Reorder the terms: 2 + 3t = 10 + 7t + -3t Combine like terms: 7t + -3t = 4t 2 + 3t = 10 + 4t Solving 2 + 3t = 10 + 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. 2 + 3t + -4t = 10 + 4t + -4t Combine like terms: 3t + -4t = -1t 2 + -1t = 10 + 4t + -4t Combine like terms: 4t + -4t = 0 2 + -1t = 10 + 0 2 + -1t = 10 Add '-2' to each side of the equation. 2 + -2 + -1t = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 10 + -2 -1t = 10 + -2 Combine like terms: 10 + -2 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8
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