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Simplifying 8 + 3t + -5 = 9t + 12 + -5t Reorder the terms: 8 + -5 + 3t = 9t + 12 + -5t Combine like terms: 8 + -5 = 3 3 + 3t = 9t + 12 + -5t Reorder the terms: 3 + 3t = 12 + 9t + -5t Combine like terms: 9t + -5t = 4t 3 + 3t = 12 + 4t Solving 3 + 3t = 12 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 3 + 3t + -4t = 12 + 4t + -4t Combine like terms: 3t + -4t = -1t 3 + -1t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 3 + -1t = 12 + 0 3 + -1t = 12 Add '-3' to each side of the equation. 3 + -3 + -1t = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 12 + -3 -1t = 12 + -3 Combine like terms: 12 + -3 = 9 -1t = 9 Divide each side by '-1'. t = -9 Simplifying t = -9
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