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Simplifying 5 + 2t + -3 = 9t + 34 + -3t Reorder the terms: 5 + -3 + 2t = 9t + 34 + -3t Combine like terms: 5 + -3 = 2 2 + 2t = 9t + 34 + -3t Reorder the terms: 2 + 2t = 34 + 9t + -3t Combine like terms: 9t + -3t = 6t 2 + 2t = 34 + 6t Solving 2 + 2t = 34 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 2 + 2t + -6t = 34 + 6t + -6t Combine like terms: 2t + -6t = -4t 2 + -4t = 34 + 6t + -6t Combine like terms: 6t + -6t = 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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