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Simplifying -4(3t + -3) + 3t = 8t + -9 Reorder the terms: -4(-3 + 3t) + 3t = 8t + -9 (-3 * -4 + 3t * -4) + 3t = 8t + -9 (12 + -12t) + 3t = 8t + -9 Combine like terms: -12t + 3t = -9t 12 + -9t = 8t + -9 Reorder the terms: 12 + -9t = -9 + 8t Solving 12 + -9t = -9 + 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. 12 + -9t + -8t = -9 + 8t + -8t Combine like terms: -9t + -8t = -17t 12 + -17t = -9 + 8t + -8t Combine like terms: 8t + -8t = 0 12 + -17t = -9 + 0 12 + -17t = -9 Add '-12' to each side of the equation. 12 + -12 + -17t = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -17t = -9 + -12 -17t = -9 + -12 Combine like terms: -9 + -12 = -21 -17t = -21 Divide each side by '-17'. t = 1.235294118 Simplifying t = 1.235294118
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