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Simplifying 3(t + 6) = 10 + -7t Reorder the terms: 3(6 + t) = 10 + -7t (6 * 3 + t * 3) = 10 + -7t (18 + 3t) = 10 + -7t Solving 18 + 3t = 10 + -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. 18 + 3t + 7t = 10 + -7t + 7t Combine like terms: 3t + 7t = 10t 18 + 10t = 10 + -7t + 7t Combine like terms: -7t + 7t = 0 18 + 10t = 10 + 0 18 + 10t = 10 Add '-18' to each side of the equation. 18 + -18 + 10t = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 10t = 10 + -18 10t = 10 + -18 Combine like terms: 10 + -18 = -8 10t = -8 Divide each side by '10'. t = -0.8 Simplifying t = -0.8
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