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Simplifying -4(3t + -5) + 3t = 8t + -3 Reorder the terms: -4(-5 + 3t) + 3t = 8t + -3 (-5 * -4 + 3t * -4) + 3t = 8t + -3 (20 + -12t) + 3t = 8t + -3 Combine like terms: -12t + 3t = -9t 20 + -9t = 8t + -3 Reorder the terms: 20 + -9t = -3 + 8t Solving 20 + -9t = -3 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 20 + -9t + -8t = -3 + 8t + -8t Combine like terms: -9t + -8t = -17t 20 + -17t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 20 + -17t = -3 + 0 20 + -17t = -3 Add '-20' to each side of the equation. 20 + -20 + -17t = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -17t = -3 + -20 -17t = -3 + -20 Combine like terms: -3 + -20 = -23 -17t = -23 Divide each side by '-17'. t = 1.352941176 Simplifying t = 1.352941176
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