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Simplifying -4(3t + -5) + 2t = 6t + -3 Reorder the terms: -4(-5 + 3t) + 2t = 6t + -3 (-5 * -4 + 3t * -4) + 2t = 6t + -3 (20 + -12t) + 2t = 6t + -3 Combine like terms: -12t + 2t = -10t 20 + -10t = 6t + -3 Reorder the terms: 20 + -10t = -3 + 6t Solving 20 + -10t = -3 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 20 + -10t + -6t = -3 + 6t + -6t Combine like terms: -10t + -6t = -16t 20 + -16t = -3 + 6t + -6t Combine like terms: 6t + -6t = 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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