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Simplifying -5t + -2(5t + 10) = 100 Reorder the terms: -5t + -2(10 + 5t) = 100 -5t + (10 * -2 + 5t * -2) = 100 -5t + (-20 + -10t) = 100 Reorder the terms: -20 + -5t + -10t = 100 Combine like terms: -5t + -10t = -15t -20 + -15t = 100 Solving -20 + -15t = 100 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -15t = 100 + 20 Combine like terms: -20 + 20 = 0 0 + -15t = 100 + 20 -15t = 100 + 20 Combine like terms: 100 + 20 = 120 -15t = 120 Divide each side by '-15'. t = -8 Simplifying t = -8
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