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