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Simplifying t + 4 = 34 + -3t Reorder the terms: 4 + t = 34 + -3t Solving 4 + t = 34 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 4 + t + 3t = 34 + -3t + 3t Combine like terms: t + 3t = 4t 4 + 4t = 34 + -3t + 3t Combine like terms: -3t + 3t = 0 4 + 4t = 34 + 0 4 + 4t = 34 Add '-4' to each side of the equation. 4 + -4 + 4t = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 4t = 34 + -4 4t = 34 + -4 Combine like terms: 34 + -4 = 30 4t = 30 Divide each side by '4'. t = 7.5 Simplifying t = 7.5
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