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Simplifying (5t + -4) = 2(t + 1) + 4 Reorder the terms: (-4 + 5t) = 2(t + 1) + 4 Remove parenthesis around (-4 + 5t) -4 + 5t = 2(t + 1) + 4 Reorder the terms: -4 + 5t = 2(1 + t) + 4 -4 + 5t = (1 * 2 + t * 2) + 4 -4 + 5t = (2 + 2t) + 4 Reorder the terms: -4 + 5t = 2 + 4 + 2t Combine like terms: 2 + 4 = 6 -4 + 5t = 6 + 2t Solving -4 + 5t = 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. -4 + 5t + -2t = 6 + 2t + -2t Combine like terms: 5t + -2t = 3t -4 + 3t = 6 + 2t + -2t Combine like terms: 2t + -2t = 0 -4 + 3t = 6 + 0 -4 + 3t = 6 Add '4' to each side of the equation. -4 + 4 + 3t = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 3t = 6 + 4 3t = 6 + 4 Combine like terms: 6 + 4 = 10 3t = 10 Divide each side by '3'. t = 3.333333333 Simplifying t = 3.333333333
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