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Simplifying 2t + 15 + 2t + 15 = 6t + -14 Reorder the terms: 15 + 15 + 2t + 2t = 6t + -14 Combine like terms: 15 + 15 = 30 30 + 2t + 2t = 6t + -14 Combine like terms: 2t + 2t = 4t 30 + 4t = 6t + -14 Reorder the terms: 30 + 4t = -14 + 6t Solving 30 + 4t = -14 + 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. 30 + 4t + -6t = -14 + 6t + -6t Combine like terms: 4t + -6t = -2t 30 + -2t = -14 + 6t + -6t Combine like terms: 6t + -6t = 0 30 + -2t = -14 + 0 30 + -2t = -14 Add '-30' to each side of the equation. 30 + -30 + -2t = -14 + -30 Combine like terms: 30 + -30 = 0 0 + -2t = -14 + -30 -2t = -14 + -30 Combine like terms: -14 + -30 = -44 -2t = -44 Divide each side by '-2'. t = 22 Simplifying t = 22
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