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