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Simplifying 45(t + -15) = 60t Reorder the terms: 45(-15 + t) = 60t (-15 * 45 + t * 45) = 60t (-675 + 45t) = 60t Solving -675 + 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. -675 + 45t + -60t = 60t + -60t Combine like terms: 45t + -60t = -15t -675 + -15t = 60t + -60t Combine like terms: 60t + -60t = 0 -675 + -15t = 0 Add '675' to each side of the equation. -675 + 675 + -15t = 0 + 675 Combine like terms: -675 + 675 = 0 0 + -15t = 0 + 675 -15t = 0 + 675 Combine like terms: 0 + 675 = 675 -15t = 675 Divide each side by '-15'. t = -45 Simplifying t = -45
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