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Simplifying 3(-5t + 3) = -1(4 + -5t) Reorder the terms: 3(3 + -5t) = -1(4 + -5t) (3 * 3 + -5t * 3) = -1(4 + -5t) (9 + -15t) = -1(4 + -5t) 9 + -15t = (4 * -1 + -5t * -1) 9 + -15t = (-4 + 5t) Solving 9 + -15t = -4 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 9 + -15t + -5t = -4 + 5t + -5t Combine like terms: -15t + -5t = -20t 9 + -20t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 9 + -20t = -4 + 0 9 + -20t = -4 Add '-9' to each side of the equation. 9 + -9 + -20t = -4 + -9 Combine like terms: 9 + -9 = 0 0 + -20t = -4 + -9 -20t = -4 + -9 Combine like terms: -4 + -9 = -13 -20t = -13 Divide each side by '-20'. t = 0.65 Simplifying t = 0.65
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