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Simplifying 4t + -16 = 2t + 14 Reorder the terms: -16 + 4t = 2t + 14 Reorder the terms: -16 + 4t = 14 + 2t Solving -16 + 4t = 14 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -16 + 4t + -2t = 14 + 2t + -2t Combine like terms: 4t + -2t = 2t -16 + 2t = 14 + 2t + -2t Combine like terms: 2t + -2t = 0 -16 + 2t = 14 + 0 -16 + 2t = 14 Add '16' to each side of the equation. -16 + 16 + 2t = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 2t = 14 + 16 2t = 14 + 16 Combine like terms: 14 + 16 = 30 2t = 30 Divide each side by '2'. t = 15 Simplifying t = 15
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