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Simplifying 2(30t + -70) = t + 7 Reorder the terms: 2(-70 + 30t) = t + 7 (-70 * 2 + 30t * 2) = t + 7 (-140 + 60t) = t + 7 Reorder the terms: -140 + 60t = 7 + t Solving -140 + 60t = 7 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -140 + 60t + -1t = 7 + t + -1t Combine like terms: 60t + -1t = 59t -140 + 59t = 7 + t + -1t Combine like terms: t + -1t = 0 -140 + 59t = 7 + 0 -140 + 59t = 7 Add '140' to each side of the equation. -140 + 140 + 59t = 7 + 140 Combine like terms: -140 + 140 = 0 0 + 59t = 7 + 140 59t = 7 + 140 Combine like terms: 7 + 140 = 147 59t = 147 Divide each side by '59'. t = 2.491525424 Simplifying t = 2.491525424
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