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Simplifying 10(t) = 300 + 15(t + -40) Reorder the terms: 10t = 300 + 15(-40 + t) 10t = 300 + (-40 * 15 + t * 15) 10t = 300 + (-600 + 15t) Combine like terms: 300 + -600 = -300 10t = -300 + 15t Solving 10t = -300 + 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. 10t + -15t = -300 + 15t + -15t Combine like terms: 10t + -15t = -5t -5t = -300 + 15t + -15t Combine like terms: 15t + -15t = 0 -5t = -300 + 0 -5t = -300 Divide each side by '-5'. t = 60 Simplifying t = 60
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