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Simplifying 3t + -6t + 8 = 7t + -2 Reorder the terms: 8 + 3t + -6t = 7t + -2 Combine like terms: 3t + -6t = -3t 8 + -3t = 7t + -2 Reorder the terms: 8 + -3t = -2 + 7t Solving 8 + -3t = -2 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 8 + -3t + -7t = -2 + 7t + -7t Combine like terms: -3t + -7t = -10t 8 + -10t = -2 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -10t = -2 + 0 8 + -10t = -2 Add '-8' to each side of the equation. 8 + -8 + -10t = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -10t = -2 + -8 -10t = -2 + -8 Combine like terms: -2 + -8 = -10 -10t = -10 Divide each side by '-10'. t = 1 Simplifying t = 1
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