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Simplifying (4t + -5) = 2(t + 1) + 2 Reorder the terms: (-5 + 4t) = 2(t + 1) + 2 Remove parenthesis around (-5 + 4t) -5 + 4t = 2(t + 1) + 2 Reorder the terms: -5 + 4t = 2(1 + t) + 2 -5 + 4t = (1 * 2 + t * 2) + 2 -5 + 4t = (2 + 2t) + 2 Reorder the terms: -5 + 4t = 2 + 2 + 2t Combine like terms: 2 + 2 = 4 -5 + 4t = 4 + 2t Solving -5 + 4t = 4 + 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. -5 + 4t + -2t = 4 + 2t + -2t Combine like terms: 4t + -2t = 2t -5 + 2t = 4 + 2t + -2t Combine like terms: 2t + -2t = 0 -5 + 2t = 4 + 0 -5 + 2t = 4 Add '5' to each side of the equation. -5 + 5 + 2t = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 2t = 4 + 5 2t = 4 + 5 Combine like terms: 4 + 5 = 9 2t = 9 Divide each side by '2'. t = 4.5 Simplifying t = 4.5
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