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Simplifying 5(t + 3) + 9 = 3(3t + -2) + 6 Reorder the terms: 5(3 + t) + 9 = 3(3t + -2) + 6 (3 * 5 + t * 5) + 9 = 3(3t + -2) + 6 (15 + 5t) + 9 = 3(3t + -2) + 6 Reorder the terms: 15 + 9 + 5t = 3(3t + -2) + 6 Combine like terms: 15 + 9 = 24 24 + 5t = 3(3t + -2) + 6 Reorder the terms: 24 + 5t = 3(-2 + 3t) + 6 24 + 5t = (-2 * 3 + 3t * 3) + 6 24 + 5t = (-6 + 9t) + 6 Reorder the terms: 24 + 5t = -6 + 6 + 9t Combine like terms: -6 + 6 = 0 24 + 5t = 0 + 9t 24 + 5t = 9t Solving 24 + 5t = 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 24 + 5t + -9t = 9t + -9t Combine like terms: 5t + -9t = -4t 24 + -4t = 9t + -9t Combine like terms: 9t + -9t = 0 24 + -4t = 0 Add '-24' to each side of the equation. 24 + -24 + -4t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -4t = 0 + -24 -4t = 0 + -24 Combine like terms: 0 + -24 = -24 -4t = -24 Divide each side by '-4'. t = 6 Simplifying t = 6
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