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Simplifying 5(t + 3) + 9 = 2(c + -2) + 3c Reorder the terms: 5(3 + t) + 9 = 2(c + -2) + 3c (3 * 5 + t * 5) + 9 = 2(c + -2) + 3c (15 + 5t) + 9 = 2(c + -2) + 3c Reorder the terms: 15 + 9 + 5t = 2(c + -2) + 3c Combine like terms: 15 + 9 = 24 24 + 5t = 2(c + -2) + 3c Reorder the terms: 24 + 5t = 2(-2 + c) + 3c 24 + 5t = (-2 * 2 + c * 2) + 3c 24 + 5t = (-4 + 2c) + 3c Combine like terms: 2c + 3c = 5c 24 + 5t = -4 + 5c Solving 24 + 5t = -4 + 5c Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5t = -4 + -24 + 5c Combine like terms: 24 + -24 = 0 0 + 5t = -4 + -24 + 5c 5t = -4 + -24 + 5c Combine like terms: -4 + -24 = -28 5t = -28 + 5c Divide each side by '5'. t = -5.6 + c Simplifying t = -5.6 + c
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