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Simplifying 10(40 + -1t) = 15(t + 0) (40 * 10 + -1t * 10) = 15(t + 0) (400 + -10t) = 15(t + 0) Reorder the terms: 400 + -10t = 15(0 + t) Remove the zero: 400 + -10t = 15(t) Solving 400 + -10t = 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. 400 + -10t + -15t = 15t + -15t Combine like terms: -10t + -15t = -25t 400 + -25t = 15t + -15t Combine like terms: 15t + -15t = 0 400 + -25t = 0 Add '-400' to each side of the equation. 400 + -400 + -25t = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -25t = 0 + -400 -25t = 0 + -400 Combine like terms: 0 + -400 = -400 -25t = -400 Divide each side by '-25'. t = 16 Simplifying t = 16
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