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Simplifying 7t + 3 = 10t + 15 Reorder the terms: 3 + 7t = 10t + 15 Reorder the terms: 3 + 7t = 15 + 10t Solving 3 + 7t = 15 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 3 + 7t + -10t = 15 + 10t + -10t Combine like terms: 7t + -10t = -3t 3 + -3t = 15 + 10t + -10t Combine like terms: 10t + -10t = 0 3 + -3t = 15 + 0 3 + -3t = 15 Add '-3' to each side of the equation. 3 + -3 + -3t = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -3t = 15 + -3 -3t = 15 + -3 Combine like terms: 15 + -3 = 12 -3t = 12 Divide each side by '-3'. t = -4 Simplifying t = -4
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