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Simplifying 4t + -2 = 46 + -4t Reorder the terms: -2 + 4t = 46 + -4t Solving -2 + 4t = 46 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. -2 + 4t + 4t = 46 + -4t + 4t Combine like terms: 4t + 4t = 8t -2 + 8t = 46 + -4t + 4t Combine like terms: -4t + 4t = 0 -2 + 8t = 46 + 0 -2 + 8t = 46 Add '2' to each side of the equation. -2 + 2 + 8t = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 8t = 46 + 2 8t = 46 + 2 Combine like terms: 46 + 2 = 48 8t = 48 Divide each side by '8'. t = 6 Simplifying t = 6
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