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Simplifying 5t + 6 = 9t + 12 Reorder the terms: 6 + 5t = 9t + 12 Reorder the terms: 6 + 5t = 12 + 9t Solving 6 + 5t = 12 + 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. 6 + 5t + -9t = 12 + 9t + -9t Combine like terms: 5t + -9t = -4t 6 + -4t = 12 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -4t = 12 + 0 6 + -4t = 12 Add '-6' to each side of the equation. 6 + -6 + -4t = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -4t = 12 + -6 -4t = 12 + -6 Combine like terms: 12 + -6 = 6 -4t = 6 Divide each side by '-4'. t = -1.5 Simplifying t = -1.5
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