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Simplifying 2t + -14 = 34 + 6t Reorder the terms: -14 + 2t = 34 + 6t Solving -14 + 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. -14 + 2t + -6t = 34 + 6t + -6t Combine like terms: 2t + -6t = -4t -14 + -4t = 34 + 6t + -6t Combine like terms: 6t + -6t = 0 -14 + -4t = 34 + 0 -14 + -4t = 34 Add '14' to each side of the equation. -14 + 14 + -4t = 34 + 14 Combine like terms: -14 + 14 = 0 0 + -4t = 34 + 14 -4t = 34 + 14 Combine like terms: 34 + 14 = 48 -4t = 48 Divide each side by '-4'. t = -12 Simplifying t = -12
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