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Simplifying 3(2t + -1) + 21 = 5(3t + -2) + 1 Reorder the terms: 3(-1 + 2t) + 21 = 5(3t + -2) + 1 (-1 * 3 + 2t * 3) + 21 = 5(3t + -2) + 1 (-3 + 6t) + 21 = 5(3t + -2) + 1 Reorder the terms: -3 + 21 + 6t = 5(3t + -2) + 1 Combine like terms: -3 + 21 = 18 18 + 6t = 5(3t + -2) + 1 Reorder the terms: 18 + 6t = 5(-2 + 3t) + 1 18 + 6t = (-2 * 5 + 3t * 5) + 1 18 + 6t = (-10 + 15t) + 1 Reorder the terms: 18 + 6t = -10 + 1 + 15t Combine like terms: -10 + 1 = -9 18 + 6t = -9 + 15t Solving 18 + 6t = -9 + 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. 18 + 6t + -15t = -9 + 15t + -15t Combine like terms: 6t + -15t = -9t 18 + -9t = -9 + 15t + -15t Combine like terms: 15t + -15t = 0 18 + -9t = -9 + 0 18 + -9t = -9 Add '-18' to each side of the equation. 18 + -18 + -9t = -9 + -18 Combine like terms: 18 + -18 = 0 0 + -9t = -9 + -18 -9t = -9 + -18 Combine like terms: -9 + -18 = -27 -9t = -27 Divide each side by '-9'. t = 3 Simplifying t = 3
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