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Simplifying 100 = (14t) + (t + 10) Reorder the terms: 100 = (14t) + (10 + t) Remove parenthesis around (10 + t) 100 = (14t) + 10 + t Reorder the terms: 100 = 10 + (14t) + t Combine like terms: (14t) + t = 15t 100 = 10 + 15t Solving 100 = 10 + 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. 100 + -15t = 10 + 15t + -15t Combine like terms: 15t + -15t = 0 100 + -15t = 10 + 0 100 + -15t = 10 Add '-100' to each side of the equation. 100 + -100 + -15t = 10 + -100 Combine like terms: 100 + -100 = 0 0 + -15t = 10 + -100 -15t = 10 + -100 Combine like terms: 10 + -100 = -90 -15t = -90 Divide each side by '-15'. t = 6 Simplifying t = 6
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