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Simplifying -0.4(2t + -4) = 0.6(6 + -3t) Reorder the terms: -0.4(-4 + 2t) = 0.6(6 + -3t) (-4 * -0.4 + 2t * -0.4) = 0.6(6 + -3t) (1.6 + -0.8t) = 0.6(6 + -3t) 1.6 + -0.8t = (6 * 0.6 + -3t * 0.6) 1.6 + -0.8t = (3.6 + -1.8t) Solving 1.6 + -0.8t = 3.6 + -1.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.8t' to each side of the equation. 1.6 + -0.8t + 1.8t = 3.6 + -1.8t + 1.8t Combine like terms: -0.8t + 1.8t = 1t 1.6 + 1t = 3.6 + -1.8t + 1.8t Combine like terms: -1.8t + 1.8t = 0.0 1.6 + 1t = 3.6 + 0.0 1.6 + 1t = 3.6 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 1t = 3.6 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 1t = 3.6 + -1.6 1t = 3.6 + -1.6 Combine like terms: 3.6 + -1.6 = 2 1t = 2 Divide each side by '1'. t = 2 Simplifying t = 2
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