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Simplifying 5(t + 3) + 9 = 3(r + -2) + 6 Reorder the terms: 5(3 + t) + 9 = 3(r + -2) + 6 (3 * 5 + t * 5) + 9 = 3(r + -2) + 6 (15 + 5t) + 9 = 3(r + -2) + 6 Reorder the terms: 15 + 9 + 5t = 3(r + -2) + 6 Combine like terms: 15 + 9 = 24 24 + 5t = 3(r + -2) + 6 Reorder the terms: 24 + 5t = 3(-2 + r) + 6 24 + 5t = (-2 * 3 + r * 3) + 6 24 + 5t = (-6 + 3r) + 6 Reorder the terms: 24 + 5t = -6 + 6 + 3r Combine like terms: -6 + 6 = 0 24 + 5t = 0 + 3r 24 + 5t = 3r Solving 24 + 5t = 3r 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 = -24 + 3r Combine like terms: 24 + -24 = 0 0 + 5t = -24 + 3r 5t = -24 + 3r Divide each side by '5'. t = -4.8 + 0.6r Simplifying t = -4.8 + 0.6r
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