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Simplifying 3(7 + -1t) + 10t = 5(2t + -6) (7 * 3 + -1t * 3) + 10t = 5(2t + -6) (21 + -3t) + 10t = 5(2t + -6) Combine like terms: -3t + 10t = 7t 21 + 7t = 5(2t + -6) Reorder the terms: 21 + 7t = 5(-6 + 2t) 21 + 7t = (-6 * 5 + 2t * 5) 21 + 7t = (-30 + 10t) Solving 21 + 7t = -30 + 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. 21 + 7t + -10t = -30 + 10t + -10t Combine like terms: 7t + -10t = -3t 21 + -3t = -30 + 10t + -10t Combine like terms: 10t + -10t = 0 21 + -3t = -30 + 0 21 + -3t = -30 Add '-21' to each side of the equation. 21 + -21 + -3t = -30 + -21 Combine like terms: 21 + -21 = 0 0 + -3t = -30 + -21 -3t = -30 + -21 Combine like terms: -30 + -21 = -51 -3t = -51 Divide each side by '-3'. t = 17 Simplifying t = 17
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