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Simplifying 4(t + 5) = 3t + 9 Reorder the terms: 4(5 + t) = 3t + 9 (5 * 4 + t * 4) = 3t + 9 (20 + 4t) = 3t + 9 Reorder the terms: 20 + 4t = 9 + 3t Solving 20 + 4t = 9 + 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. 20 + 4t + -3t = 9 + 3t + -3t Combine like terms: 4t + -3t = 1t 20 + 1t = 9 + 3t + -3t Combine like terms: 3t + -3t = 0 20 + 1t = 9 + 0 20 + 1t = 9 Add '-20' to each side of the equation. 20 + -20 + 1t = 9 + -20 Combine like terms: 20 + -20 = 0 0 + 1t = 9 + -20 1t = 9 + -20 Combine like terms: 9 + -20 = -11 1t = -11 Divide each side by '1'. t = -11 Simplifying t = -11
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