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Simplifying 8(t + 30) = 10t Reorder the terms: 8(30 + t) = 10t (30 * 8 + t * 8) = 10t (240 + 8t) = 10t Solving 240 + 8t = 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. 240 + 8t + -10t = 10t + -10t Combine like terms: 8t + -10t = -2t 240 + -2t = 10t + -10t Combine like terms: 10t + -10t = 0 240 + -2t = 0 Add '-240' to each side of the equation. 240 + -240 + -2t = 0 + -240 Combine like terms: 240 + -240 = 0 0 + -2t = 0 + -240 -2t = 0 + -240 Combine like terms: 0 + -240 = -240 -2t = -240 Divide each side by '-2'. t = 120 Simplifying t = 120
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