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Simplifying (5t + -6) = (t + 1) + 2 Reorder the terms: (-6 + 5t) = (t + 1) + 2 Remove parenthesis around (-6 + 5t) -6 + 5t = (t + 1) + 2 Reorder the terms: -6 + 5t = (1 + t) + 2 Remove parenthesis around (1 + t) -6 + 5t = 1 + t + 2 Reorder the terms: -6 + 5t = 1 + 2 + t Combine like terms: 1 + 2 = 3 -6 + 5t = 3 + t Solving -6 + 5t = 3 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -6 + 5t + -1t = 3 + t + -1t Combine like terms: 5t + -1t = 4t -6 + 4t = 3 + t + -1t Combine like terms: t + -1t = 0 -6 + 4t = 3 + 0 -6 + 4t = 3 Add '6' to each side of the equation. -6 + 6 + 4t = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 4t = 3 + 6 4t = 3 + 6 Combine like terms: 3 + 6 = 9 4t = 9 Divide each side by '4'. t = 2.25 Simplifying t = 2.25
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