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Simplifying 0.33(t + 4) = 0.20(t + -5) Reorder the terms: 0.33(4 + t) = 0.20(t + -5) (4 * 0.33 + t * 0.33) = 0.20(t + -5) (1.32 + 0.33t) = 0.20(t + -5) Reorder the terms: 1.32 + 0.33t = 0.20(-5 + t) 1.32 + 0.33t = (-5 * 0.20 + t * 0.20) 1.32 + 0.33t = (-1 + 0.20t) Solving 1.32 + 0.33t = -1 + 0.20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.20t' to each side of the equation. 1.32 + 0.33t + -0.20t = -1 + 0.20t + -0.20t Combine like terms: 0.33t + -0.20t = 0.13t 1.32 + 0.13t = -1 + 0.20t + -0.20t Combine like terms: 0.20t + -0.20t = 0.00 1.32 + 0.13t = -1 + 0.00 1.32 + 0.13t = -1 Add '-1.32' to each side of the equation. 1.32 + -1.32 + 0.13t = -1 + -1.32 Combine like terms: 1.32 + -1.32 = 0.00 0.00 + 0.13t = -1 + -1.32 0.13t = -1 + -1.32 Combine like terms: -1 + -1.32 = -2.32 0.13t = -2.32 Divide each side by '0.13'. t = -17.84615385 Simplifying t = -17.84615385
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