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Simplifying 10(t + 1.5) = 2.5t Reorder the terms: 10(1.5 + t) = 2.5t (1.5 * 10 + t * 10) = 2.5t (15 + 10t) = 2.5t Solving 15 + 10t = 2.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.5t' to each side of the equation. 15 + 10t + -2.5t = 2.5t + -2.5t Combine like terms: 10t + -2.5t = 7.5t 15 + 7.5t = 2.5t + -2.5t Combine like terms: 2.5t + -2.5t = 0.0 15 + 7.5t = 0.0 Add '-15' to each side of the equation. 15 + -15 + 7.5t = 0.0 + -15 Combine like terms: 15 + -15 = 0 0 + 7.5t = 0.0 + -15 7.5t = 0.0 + -15 Combine like terms: 0.0 + -15 = -15 7.5t = -15 Divide each side by '7.5'. t = -2 Simplifying t = -2
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