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Simplifying 4(3t + -2) = 5(2t + -3) Reorder the terms: 4(-2 + 3t) = 5(2t + -3) (-2 * 4 + 3t * 4) = 5(2t + -3) (-8 + 12t) = 5(2t + -3) Reorder the terms: -8 + 12t = 5(-3 + 2t) -8 + 12t = (-3 * 5 + 2t * 5) -8 + 12t = (-15 + 10t) Solving -8 + 12t = -15 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -8 + 12t + -10t = -15 + 10t + -10t Combine like terms: 12t + -10t = 2t -8 + 2t = -15 + 10t + -10t Combine like terms: 10t + -10t = 0 -8 + 2t = -15 + 0 -8 + 2t = -15 Add '8' to each side of the equation. -8 + 8 + 2t = -15 + 8 Combine like terms: -8 + 8 = 0 0 + 2t = -15 + 8 2t = -15 + 8 Combine like terms: -15 + 8 = -7 2t = -7 Divide each side by '2'. t = -3.5 Simplifying t = -3.5
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