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Simplifying -5(3t + -4) + 3t = 4t + -3 Reorder the terms: -5(-4 + 3t) + 3t = 4t + -3 (-4 * -5 + 3t * -5) + 3t = 4t + -3 (20 + -15t) + 3t = 4t + -3 Combine like terms: -15t + 3t = -12t 20 + -12t = 4t + -3 Reorder the terms: 20 + -12t = -3 + 4t Solving 20 + -12t = -3 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 20 + -12t + -4t = -3 + 4t + -4t Combine like terms: -12t + -4t = -16t 20 + -16t = -3 + 4t + -4t Combine like terms: 4t + -4t = 0 20 + -16t = -3 + 0 20 + -16t = -3 Add '-20' to each side of the equation. 20 + -20 + -16t = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -16t = -3 + -20 -16t = -3 + -20 Combine like terms: -3 + -20 = -23 -16t = -23 Divide each side by '-16'. t = 1.4375 Simplifying t = 1.4375
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