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Simplifying -2(0.5 + -4t) = 3(4 + -3.5t) (0.5 * -2 + -4t * -2) = 3(4 + -3.5t) (-1 + 8t) = 3(4 + -3.5t) -1 + 8t = (4 * 3 + -3.5t * 3) -1 + 8t = (12 + -10.5t) Solving -1 + 8t = 12 + -10.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10.5t' to each side of the equation. -1 + 8t + 10.5t = 12 + -10.5t + 10.5t Combine like terms: 8t + 10.5t = 18.5t -1 + 18.5t = 12 + -10.5t + 10.5t Combine like terms: -10.5t + 10.5t = 0.0 -1 + 18.5t = 12 + 0.0 -1 + 18.5t = 12 Add '1' to each side of the equation. -1 + 1 + 18.5t = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 18.5t = 12 + 1 18.5t = 12 + 1 Combine like terms: 12 + 1 = 13 18.5t = 13 Divide each side by '18.5'. t = 0.7027027027 Simplifying t = 0.7027027027
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