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Simplifying 3(-1 + -2t) = 4(1 + -5t) (-1 * 3 + -2t * 3) = 4(1 + -5t) (-3 + -6t) = 4(1 + -5t) -3 + -6t = (1 * 4 + -5t * 4) -3 + -6t = (4 + -20t) Solving -3 + -6t = 4 + -20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20t' to each side of the equation. -3 + -6t + 20t = 4 + -20t + 20t Combine like terms: -6t + 20t = 14t -3 + 14t = 4 + -20t + 20t Combine like terms: -20t + 20t = 0 -3 + 14t = 4 + 0 -3 + 14t = 4 Add '3' to each side of the equation. -3 + 3 + 14t = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 14t = 4 + 3 14t = 4 + 3 Combine like terms: 4 + 3 = 7 14t = 7 Divide each side by '14'. t = 0.5 Simplifying t = 0.5
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