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Simplifying 3(7t + -1) = 5(3t + 1) Reorder the terms: 3(-1 + 7t) = 5(3t + 1) (-1 * 3 + 7t * 3) = 5(3t + 1) (-3 + 21t) = 5(3t + 1) Reorder the terms: -3 + 21t = 5(1 + 3t) -3 + 21t = (1 * 5 + 3t * 5) -3 + 21t = (5 + 15t) Solving -3 + 21t = 5 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -3 + 21t + -15t = 5 + 15t + -15t Combine like terms: 21t + -15t = 6t -3 + 6t = 5 + 15t + -15t Combine like terms: 15t + -15t = 0 -3 + 6t = 5 + 0 -3 + 6t = 5 Add '3' to each side of the equation. -3 + 3 + 6t = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 6t = 5 + 3 6t = 5 + 3 Combine like terms: 5 + 3 = 8 6t = 8 Divide each side by '6'. t = 1.333333333 Simplifying t = 1.333333333
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