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Simplifying 5t + -2 = -34 + 9t Reorder the terms: -2 + 5t = -34 + 9t Solving -2 + 5t = -34 + 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. -2 + 5t + -9t = -34 + 9t + -9t Combine like terms: 5t + -9t = -4t -2 + -4t = -34 + 9t + -9t Combine like terms: 9t + -9t = 0 -2 + -4t = -34 + 0 -2 + -4t = -34 Add '2' to each side of the equation. -2 + 2 + -4t = -34 + 2 Combine like terms: -2 + 2 = 0 0 + -4t = -34 + 2 -4t = -34 + 2 Combine like terms: -34 + 2 = -32 -4t = -32 Divide each side by '-4'. t = 8 Simplifying t = 8
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