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Simplifying -3(t + -4) + 8t = 9t + -9 Reorder the terms: -3(-4 + t) + 8t = 9t + -9 (-4 * -3 + t * -3) + 8t = 9t + -9 (12 + -3t) + 8t = 9t + -9 Combine like terms: -3t + 8t = 5t 12 + 5t = 9t + -9 Reorder the terms: 12 + 5t = -9 + 9t Solving 12 + 5t = -9 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 12 + 5t + -9t = -9 + 9t + -9t Combine like terms: 5t + -9t = -4t 12 + -4t = -9 + 9t + -9t Combine like terms: 9t + -9t = 0 12 + -4t = -9 + 0 12 + -4t = -9 Add '-12' to each side of the equation. 12 + -12 + -4t = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -4t = -9 + -12 -4t = -9 + -12 Combine like terms: -9 + -12 = -21 -4t = -21 Divide each side by '-4'. t = 5.25 Simplifying t = 5.25
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