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Simplifying 5t + 3 = 9t + -1 Reorder the terms: 3 + 5t = 9t + -1 Reorder the terms: 3 + 5t = -1 + 9t Solving 3 + 5t = -1 + 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. 3 + 5t + -9t = -1 + 9t + -9t Combine like terms: 5t + -9t = -4t 3 + -4t = -1 + 9t + -9t Combine like terms: 9t + -9t = 0 3 + -4t = -1 + 0 3 + -4t = -1 Add '-3' to each side of the equation. 3 + -3 + -4t = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -4t = -1 + -3 -4t = -1 + -3 Combine like terms: -1 + -3 = -4 -4t = -4 Divide each side by '-4'. t = 1 Simplifying t = 1
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