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Simplifying 45(t + 2) = 60t Reorder the terms: 45(2 + t) = 60t (2 * 45 + t * 45) = 60t (90 + 45t) = 60t Solving 90 + 45t = 60t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-60t' to each side of the equation. 90 + 45t + -60t = 60t + -60t Combine like terms: 45t + -60t = -15t 90 + -15t = 60t + -60t Combine like terms: 60t + -60t = 0 90 + -15t = 0 Add '-90' to each side of the equation. 90 + -90 + -15t = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -15t = 0 + -90 -15t = 0 + -90 Combine like terms: 0 + -90 = -90 -15t = -90 Divide each side by '-15'. t = 6 Simplifying t = 6
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