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Simplifying 5t + -6 = 9t + -14 Reorder the terms: -6 + 5t = 9t + -14 Reorder the terms: -6 + 5t = -14 + 9t Solving -6 + 5t = -14 + 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 = -14 + 9t + -9t Combine like terms: 5t + -9t = -4t -6 + -4t = -14 + 9t + -9t Combine like terms: 9t + -9t = 0 -6 + -4t = -14 + 0 -6 + -4t = -14 Add '6' to each side of the equation. -6 + 6 + -4t = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -4t = -14 + 6 -4t = -14 + 6 Combine like terms: -14 + 6 = -8 -4t = -8 Divide each side by '-4'. t = 2 Simplifying t = 2
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