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Simplifying 4(3t + 1) = 0.75t + -5 Reorder the terms: 4(1 + 3t) = 0.75t + -5 (1 * 4 + 3t * 4) = 0.75t + -5 (4 + 12t) = 0.75t + -5 Reorder the terms: 4 + 12t = -5 + 0.75t Solving 4 + 12t = -5 + 0.75t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.75t' to each side of the equation. 4 + 12t + -0.75t = -5 + 0.75t + -0.75t Combine like terms: 12t + -0.75t = 11.25t 4 + 11.25t = -5 + 0.75t + -0.75t Combine like terms: 0.75t + -0.75t = 0.00 4 + 11.25t = -5 + 0.00 4 + 11.25t = -5 Add '-4' to each side of the equation. 4 + -4 + 11.25t = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 11.25t = -5 + -4 11.25t = -5 + -4 Combine like terms: -5 + -4 = -9 11.25t = -9 Divide each side by '11.25'. t = -0.8 Simplifying t = -0.8
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