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Simplifying 4(7t + -5) = 2(9t + 5) Reorder the terms: 4(-5 + 7t) = 2(9t + 5) (-5 * 4 + 7t * 4) = 2(9t + 5) (-20 + 28t) = 2(9t + 5) Reorder the terms: -20 + 28t = 2(5 + 9t) -20 + 28t = (5 * 2 + 9t * 2) -20 + 28t = (10 + 18t) Solving -20 + 28t = 10 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -20 + 28t + -18t = 10 + 18t + -18t Combine like terms: 28t + -18t = 10t -20 + 10t = 10 + 18t + -18t Combine like terms: 18t + -18t = 0 -20 + 10t = 10 + 0 -20 + 10t = 10 Add '20' to each side of the equation. -20 + 20 + 10t = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 10t = 10 + 20 10t = 10 + 20 Combine like terms: 10 + 20 = 30 10t = 30 Divide each side by '10'. t = 3 Simplifying t = 3
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