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Simplifying t + 3 + 3t + -5 = 3t + 28 Reorder the terms: 3 + -5 + t + 3t = 3t + 28 Combine like terms: 3 + -5 = -2 -2 + t + 3t = 3t + 28 Combine like terms: t + 3t = 4t -2 + 4t = 3t + 28 Reorder the terms: -2 + 4t = 28 + 3t Solving -2 + 4t = 28 + 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. -2 + 4t + -3t = 28 + 3t + -3t Combine like terms: 4t + -3t = 1t -2 + 1t = 28 + 3t + -3t Combine like terms: 3t + -3t = 0 -2 + 1t = 28 + 0 -2 + 1t = 28 Add '2' to each side of the equation. -2 + 2 + 1t = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 1t = 28 + 2 1t = 28 + 2 Combine like terms: 28 + 2 = 30 1t = 30 Divide each side by '1'. t = 30 Simplifying t = 30
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