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Simplifying 10t + -34 = 3t + 8 Reorder the terms: -34 + 10t = 3t + 8 Reorder the terms: -34 + 10t = 8 + 3t Solving -34 + 10t = 8 + 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. -34 + 10t + -3t = 8 + 3t + -3t Combine like terms: 10t + -3t = 7t -34 + 7t = 8 + 3t + -3t Combine like terms: 3t + -3t = 0 -34 + 7t = 8 + 0 -34 + 7t = 8 Add '34' to each side of the equation. -34 + 34 + 7t = 8 + 34 Combine like terms: -34 + 34 = 0 0 + 7t = 8 + 34 7t = 8 + 34 Combine like terms: 8 + 34 = 42 7t = 42 Divide each side by '7'. t = 6 Simplifying t = 6
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