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Simplifying -4(-2t + 1) = -1(-4 + 10t) Reorder the terms: -4(1 + -2t) = -1(-4 + 10t) (1 * -4 + -2t * -4) = -1(-4 + 10t) (-4 + 8t) = -1(-4 + 10t) -4 + 8t = (-4 * -1 + 10t * -1) -4 + 8t = (4 + -10t) Solving -4 + 8t = 4 + -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 + 8t + 10t = 4 + -10t + 10t Combine like terms: 8t + 10t = 18t -4 + 18t = 4 + -10t + 10t Combine like terms: -10t + 10t = 0 -4 + 18t = 4 + 0 -4 + 18t = 4 Add '4' to each side of the equation. -4 + 4 + 18t = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 18t = 4 + 4 18t = 4 + 4 Combine like terms: 4 + 4 = 8 18t = 8 Divide each side by '18'. t = 0.4444444444 Simplifying t = 0.4444444444
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