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Simplifying -4(3t + -2) + 3t = 8t + -3 Reorder the terms: -4(-2 + 3t) + 3t = 8t + -3 (-2 * -4 + 3t * -4) + 3t = 8t + -3 (8 + -12t) + 3t = 8t + -3 Combine like terms: -12t + 3t = -9t 8 + -9t = 8t + -3 Reorder the terms: 8 + -9t = -3 + 8t Solving 8 + -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. 8 + -9t + -8t = -3 + 8t + -8t Combine like terms: -9t + -8t = -17t 8 + -17t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 8 + -17t = -3 + 0 8 + -17t = -3 Add '-8' to each side of the equation. 8 + -8 + -17t = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -17t = -3 + -8 -17t = -3 + -8 Combine like terms: -3 + -8 = -11 -17t = -11 Divide each side by '-17'. t = 0.6470588235 Simplifying t = 0.6470588235
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