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Simplifying 34 = 3(t + 6) + -8 Reorder the terms: 34 = 3(6 + t) + -8 34 = (6 * 3 + t * 3) + -8 34 = (18 + 3t) + -8 Reorder the terms: 34 = 18 + -8 + 3t Combine like terms: 18 + -8 = 10 34 = 10 + 3t Solving 34 = 10 + 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 + -3t = 10 + 3t + -3t Combine like terms: 3t + -3t = 0 34 + -3t = 10 + 0 34 + -3t = 10 Add '-34' to each side of the equation. 34 + -34 + -3t = 10 + -34 Combine like terms: 34 + -34 = 0 0 + -3t = 10 + -34 -3t = 10 + -34 Combine like terms: 10 + -34 = -24 -3t = -24 Divide each side by '-3'. t = 8 Simplifying t = 8
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