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Simplifying (4t + -1) = 2(t + 1) + 4 Reorder the terms: (-1 + 4t) = 2(t + 1) + 4 Remove parenthesis around (-1 + 4t) -1 + 4t = 2(t + 1) + 4 Reorder the terms: -1 + 4t = 2(1 + t) + 4 -1 + 4t = (1 * 2 + t * 2) + 4 -1 + 4t = (2 + 2t) + 4 Reorder the terms: -1 + 4t = 2 + 4 + 2t Combine like terms: 2 + 4 = 6 -1 + 4t = 6 + 2t Solving -1 + 4t = 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. -1 + 4t + -2t = 6 + 2t + -2t Combine like terms: 4t + -2t = 2t -1 + 2t = 6 + 2t + -2t Combine like terms: 2t + -2t = 0 -1 + 2t = 6 + 0 -1 + 2t = 6 Add '1' to each side of the equation. -1 + 1 + 2t = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 2t = 6 + 1 2t = 6 + 1 Combine like terms: 6 + 1 = 7 2t = 7 Divide each side by '2'. t = 3.5 Simplifying t = 3.5
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