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Simplifying 4t + -2 + t(2) = 6 + t(2) Reorder the terms for easier multiplication: 4t + -2 + 2t = 6 + t(2) Reorder the terms: -2 + 4t + 2t = 6 + t(2) Combine like terms: 4t + 2t = 6t -2 + 6t = 6 + t(2) Reorder the terms for easier multiplication: -2 + 6t = 6 + 2t Solving -2 + 6t = 6 + 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. -2 + 6t + -2t = 6 + 2t + -2t Combine like terms: 6t + -2t = 4t -2 + 4t = 6 + 2t + -2t Combine like terms: 2t + -2t = 0 -2 + 4t = 6 + 0 -2 + 4t = 6 Add '2' to each side of the equation. -2 + 2 + 4t = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 4t = 6 + 2 4t = 6 + 2 Combine like terms: 6 + 2 = 8 4t = 8 Divide each side by '4'. t = 2 Simplifying t = 2
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