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Simplifying 0.33(t + 4) = 0.25(t + -5) Reorder the terms: 0.33(4 + t) = 0.25(t + -5) (4 * 0.33 + t * 0.33) = 0.25(t + -5) (1.32 + 0.33t) = 0.25(t + -5) Reorder the terms: 1.32 + 0.33t = 0.25(-5 + t) 1.32 + 0.33t = (-5 * 0.25 + t * 0.25) 1.32 + 0.33t = (-1.25 + 0.25t) Solving 1.32 + 0.33t = -1.25 + 0.25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.25t' to each side of the equation. 1.32 + 0.33t + -0.25t = -1.25 + 0.25t + -0.25t Combine like terms: 0.33t + -0.25t = 0.08t 1.32 + 0.08t = -1.25 + 0.25t + -0.25t Combine like terms: 0.25t + -0.25t = 0.00 1.32 + 0.08t = -1.25 + 0.00 1.32 + 0.08t = -1.25 Add '-1.32' to each side of the equation. 1.32 + -1.32 + 0.08t = -1.25 + -1.32 Combine like terms: 1.32 + -1.32 = 0.00 0.00 + 0.08t = -1.25 + -1.32 0.08t = -1.25 + -1.32 Combine like terms: -1.25 + -1.32 = -2.57 0.08t = -2.57 Divide each side by '0.08'. t = -32.125 Simplifying t = -32.125
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