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Simplifying 10t + -5 + 4t = 10 + -1t Reorder the terms: -5 + 10t + 4t = 10 + -1t Combine like terms: 10t + 4t = 14t -5 + 14t = 10 + -1t Solving -5 + 14t = 10 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -5 + 14t + t = 10 + -1t + t Combine like terms: 14t + t = 15t -5 + 15t = 10 + -1t + t Combine like terms: -1t + t = 0 -5 + 15t = 10 + 0 -5 + 15t = 10 Add '5' to each side of the equation. -5 + 5 + 15t = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 15t = 10 + 5 15t = 10 + 5 Combine like terms: 10 + 5 = 15 15t = 15 Divide each side by '15'. t = 1 Simplifying t = 1
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