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Simplifying 0.4 + -0.2(t + -1.6) = 1.6t Reorder the terms: 0.4 + -0.2(-1.6 + t) = 1.6t 0.4 + (-1.6 * -0.2 + t * -0.2) = 1.6t 0.4 + (0.32 + -0.2t) = 1.6t Combine like terms: 0.4 + 0.32 = 0.72 0.72 + -0.2t = 1.6t Solving 0.72 + -0.2t = 1.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.6t' to each side of the equation. 0.72 + -0.2t + -1.6t = 1.6t + -1.6t Combine like terms: -0.2t + -1.6t = -1.8t 0.72 + -1.8t = 1.6t + -1.6t Combine like terms: 1.6t + -1.6t = 0.0 0.72 + -1.8t = 0.0 Add '-0.72' to each side of the equation. 0.72 + -0.72 + -1.8t = 0.0 + -0.72 Combine like terms: 0.72 + -0.72 = 0.00 0.00 + -1.8t = 0.0 + -0.72 -1.8t = 0.0 + -0.72 Combine like terms: 0.0 + -0.72 = -0.72 -1.8t = -0.72 Divide each side by '-1.8'. t = 0.4 Simplifying t = 0.4
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