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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 = -1 11.25t = -1 Divide each side by '11.25'. t = -0.08888888889 Simplifying t = -0.08888888889
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