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Simplifying -5 + -2(5t + 10) = 100 Reorder the terms: -5 + -2(10 + 5t) = 100 -5 + (10 * -2 + 5t * -2) = 100 -5 + (-20 + -10t) = 100 Combine like terms: -5 + -20 = -25 -25 + -10t = 100 Solving -25 + -10t = 100 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -10t = 100 + 25 Combine like terms: -25 + 25 = 0 0 + -10t = 100 + 25 -10t = 100 + 25 Combine like terms: 100 + 25 = 125 -10t = 125 Divide each side by '-10'. t = -12.5 Simplifying t = -12.5
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