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Simplifying 5(1 + -2t) = 5(t + 2) + -5 (1 * 5 + -2t * 5) = 5(t + 2) + -5 (5 + -10t) = 5(t + 2) + -5 Reorder the terms: 5 + -10t = 5(2 + t) + -5 5 + -10t = (2 * 5 + t * 5) + -5 5 + -10t = (10 + 5t) + -5 Reorder the terms: 5 + -10t = 10 + -5 + 5t Combine like terms: 10 + -5 = 5 5 + -10t = 5 + 5t Add '-5' to each side of the equation. 5 + -5 + -10t = 5 + -5 + 5t Combine like terms: 5 + -5 = 0 0 + -10t = 5 + -5 + 5t -10t = 5 + -5 + 5t Combine like terms: 5 + -5 = 0 -10t = 0 + 5t -10t = 5t Solving -10t = 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -10t + -5t = 5t + -5t Combine like terms: -10t + -5t = -15t -15t = 5t + -5t Combine like terms: 5t + -5t = 0 -15t = 0 Divide each side by '-15'. t = 0 Simplifying t = 0
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