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Simplifying 5(t + 4) = 2t + 29 Reorder the terms: 5(4 + t) = 2t + 29 (4 * 5 + t * 5) = 2t + 29 (20 + 5t) = 2t + 29 Reorder the terms: 20 + 5t = 29 + 2t Solving 20 + 5t = 29 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 20 + 5t + -2t = 29 + 2t + -2t Combine like terms: 5t + -2t = 3t 20 + 3t = 29 + 2t + -2t Combine like terms: 2t + -2t = 0 20 + 3t = 29 + 0 20 + 3t = 29 Add '-20' to each side of the equation. 20 + -20 + 3t = 29 + -20 Combine like terms: 20 + -20 = 0 0 + 3t = 29 + -20 3t = 29 + -20 Combine like terms: 29 + -20 = 9 3t = 9 Divide each side by '3'. t = 3 Simplifying t = 3
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