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Simplifying -0.5(3t + -4) = 0.5(7 + -2t) Reorder the terms: -0.5(-4 + 3t) = 0.5(7 + -2t) (-4 * -0.5 + 3t * -0.5) = 0.5(7 + -2t) (2 + -1.5t) = 0.5(7 + -2t) 2 + -1.5t = (7 * 0.5 + -2t * 0.5) 2 + -1.5t = (3.5 + -1t) Solving 2 + -1.5t = 3.5 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 2 + -1.5t + t = 3.5 + -1t + t Combine like terms: -1.5t + t = -0.5t 2 + -0.5t = 3.5 + -1t + t Combine like terms: -1t + t = 0 2 + -0.5t = 3.5 + 0 2 + -0.5t = 3.5 Add '-2' to each side of the equation. 2 + -2 + -0.5t = 3.5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5t = 3.5 + -2 -0.5t = 3.5 + -2 Combine like terms: 3.5 + -2 = 1.5 -0.5t = 1.5 Divide each side by '-0.5'. t = -3 Simplifying t = -3
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