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Simplifying 0.48 = (0.6(1 + -1t) + -0.2) 0.48 = ((1 * 0.6 + -1t * 0.6) + -0.2) 0.48 = ((0.6 + -0.6t) + -0.2) Reorder the terms: 0.48 = (0.6 + -0.2 + -0.6t) Combine like terms: 0.6 + -0.2 = 0.4 0.48 = (0.4 + -0.6t) Remove parenthesis around (0.4 + -0.6t) 0.48 = 0.4 + -0.6t Solving 0.48 = 0.4 + -0.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.6t' to each side of the equation. 0.48 + 0.6t = 0.4 + -0.6t + 0.6t Combine like terms: -0.6t + 0.6t = 0.0 0.48 + 0.6t = 0.4 + 0.0 0.48 + 0.6t = 0.4 Add '-0.48' to each side of the equation. 0.48 + -0.48 + 0.6t = 0.4 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + 0.6t = 0.4 + -0.48 0.6t = 0.4 + -0.48 Combine like terms: 0.4 + -0.48 = -0.08 0.6t = -0.08 Divide each side by '0.6'. t = -0.1333333333 Simplifying t = -0.1333333333
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