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Simplifying 5(t + 3) + 9 = 3(t + -2) + 3c Reorder the terms: 5(3 + t) + 9 = 3(t + -2) + 3c (3 * 5 + t * 5) + 9 = 3(t + -2) + 3c (15 + 5t) + 9 = 3(t + -2) + 3c Reorder the terms: 15 + 9 + 5t = 3(t + -2) + 3c Combine like terms: 15 + 9 = 24 24 + 5t = 3(t + -2) + 3c Reorder the terms: 24 + 5t = 3(-2 + t) + 3c 24 + 5t = (-2 * 3 + t * 3) + 3c 24 + 5t = (-6 + 3t) + 3c Reorder the terms: 24 + 5t = -6 + 3c + 3t Solving 24 + 5t = -6 + 3c + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 24 + 5t + -3t = -6 + 3c + 3t + -3t Combine like terms: 5t + -3t = 2t 24 + 2t = -6 + 3c + 3t + -3t Combine like terms: 3t + -3t = 0 24 + 2t = -6 + 3c + 0 24 + 2t = -6 + 3c Add '-24' to each side of the equation. 24 + -24 + 2t = -6 + -24 + 3c Combine like terms: 24 + -24 = 0 0 + 2t = -6 + -24 + 3c 2t = -6 + -24 + 3c Combine like terms: -6 + -24 = -30 2t = -30 + 3c Divide each side by '2'. t = -15 + 1.5c Simplifying t = -15 + 1.5c
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