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Simplifying -4(3t + -2) + 9t = 6t + -3 Reorder the terms: -4(-2 + 3t) + 9t = 6t + -3 (-2 * -4 + 3t * -4) + 9t = 6t + -3 (8 + -12t) + 9t = 6t + -3 Combine like terms: -12t + 9t = -3t 8 + -3t = 6t + -3 Reorder the terms: 8 + -3t = -3 + 6t Solving 8 + -3t = -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. 8 + -3t + -6t = -3 + 6t + -6t Combine like terms: -3t + -6t = -9t 8 + -9t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 8 + -9t = -3 + 0 8 + -9t = -3 Add '-8' to each side of the equation. 8 + -8 + -9t = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -9t = -3 + -8 -9t = -3 + -8 Combine like terms: -3 + -8 = -11 -9t = -11 Divide each side by '-9'. t = 1.222222222 Simplifying t = 1.222222222
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