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Simplifying 4(-1t + 1) = 2(5t + 5) Reorder the terms: 4(1 + -1t) = 2(5t + 5) (1 * 4 + -1t * 4) = 2(5t + 5) (4 + -4t) = 2(5t + 5) Reorder the terms: 4 + -4t = 2(5 + 5t) 4 + -4t = (5 * 2 + 5t * 2) 4 + -4t = (10 + 10t) Solving 4 + -4t = 10 + 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. 4 + -4t + -10t = 10 + 10t + -10t Combine like terms: -4t + -10t = -14t 4 + -14t = 10 + 10t + -10t Combine like terms: 10t + -10t = 0 4 + -14t = 10 + 0 4 + -14t = 10 Add '-4' to each side of the equation. 4 + -4 + -14t = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -14t = 10 + -4 -14t = 10 + -4 Combine like terms: 10 + -4 = 6 -14t = 6 Divide each side by '-14'. t = -0.4285714286 Simplifying t = -0.4285714286
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