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Simplifying 10(t + 1.5) = 25t Reorder the terms: 10(1.5 + t) = 25t (1.5 * 10 + t * 10) = 25t (15 + 10t) = 25t Solving 15 + 10t = 25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25t' to each side of the equation. 15 + 10t + -25t = 25t + -25t Combine like terms: 10t + -25t = -15t 15 + -15t = 25t + -25t Combine like terms: 25t + -25t = 0 15 + -15t = 0 Add '-15' to each side of the equation. 15 + -15 + -15t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -15t = 0 + -15 -15t = 0 + -15 Combine like terms: 0 + -15 = -15 -15t = -15 Divide each side by '-15'. t = 1 Simplifying t = 1
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