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Simplifying 3(2t + 5) = 4(5t + 7) Reorder the terms: 3(5 + 2t) = 4(5t + 7) (5 * 3 + 2t * 3) = 4(5t + 7) (15 + 6t) = 4(5t + 7) Reorder the terms: 15 + 6t = 4(7 + 5t) 15 + 6t = (7 * 4 + 5t * 4) 15 + 6t = (28 + 20t) Solving 15 + 6t = 28 + 20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20t' to each side of the equation. 15 + 6t + -20t = 28 + 20t + -20t Combine like terms: 6t + -20t = -14t 15 + -14t = 28 + 20t + -20t Combine like terms: 20t + -20t = 0 15 + -14t = 28 + 0 15 + -14t = 28 Add '-15' to each side of the equation. 15 + -15 + -14t = 28 + -15 Combine like terms: 15 + -15 = 0 0 + -14t = 28 + -15 -14t = 28 + -15 Combine like terms: 28 + -15 = 13 -14t = 13 Divide each side by '-14'. t = -0.9285714286 Simplifying t = -0.9285714286
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