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Simplifying -3(t + -4) + 8t = 9t + -2 Reorder the terms: -3(-4 + t) + 8t = 9t + -2 (-4 * -3 + t * -3) + 8t = 9t + -2 (12 + -3t) + 8t = 9t + -2 Combine like terms: -3t + 8t = 5t 12 + 5t = 9t + -2 Reorder the terms: 12 + 5t = -2 + 9t Solving 12 + 5t = -2 + 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 = -2 + 9t + -9t Combine like terms: 5t + -9t = -4t 12 + -4t = -2 + 9t + -9t Combine like terms: 9t + -9t = 0 12 + -4t = -2 + 0 12 + -4t = -2 Add '-12' to each side of the equation. 12 + -12 + -4t = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -4t = -2 + -12 -4t = -2 + -12 Combine like terms: -2 + -12 = -14 -4t = -14 Divide each side by '-4'. t = 3.5 Simplifying t = 3.5
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