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Simplifying 5(2t + -4) = -2(10t + -5t) Reorder the terms: 5(-4 + 2t) = -2(10t + -5t) (-4 * 5 + 2t * 5) = -2(10t + -5t) (-20 + 10t) = -2(10t + -5t) Combine like terms: 10t + -5t = 5t -20 + 10t = -2(5t) Remove parenthesis around (5t) -20 + 10t = -2 * 5t Multiply -2 * 5 -20 + 10t = -10t Solving -20 + 10t = -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. -20 + 10t + 10t = -10t + 10t Combine like terms: 10t + 10t = 20t -20 + 20t = -10t + 10t Combine like terms: -10t + 10t = 0 -20 + 20t = 0 Add '20' to each side of the equation. -20 + 20 + 20t = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 20t = 0 + 20 20t = 0 + 20 Combine like terms: 0 + 20 = 20 20t = 20 Divide each side by '20'. t = 1 Simplifying t = 1
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