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Simplifying 4(t + 2) + 8 = 3(t + 2) + 12 Reorder the terms: 4(2 + t) + 8 = 3(t + 2) + 12 (2 * 4 + t * 4) + 8 = 3(t + 2) + 12 (8 + 4t) + 8 = 3(t + 2) + 12 Reorder the terms: 8 + 8 + 4t = 3(t + 2) + 12 Combine like terms: 8 + 8 = 16 16 + 4t = 3(t + 2) + 12 Reorder the terms: 16 + 4t = 3(2 + t) + 12 16 + 4t = (2 * 3 + t * 3) + 12 16 + 4t = (6 + 3t) + 12 Reorder the terms: 16 + 4t = 6 + 12 + 3t Combine like terms: 6 + 12 = 18 16 + 4t = 18 + 3t Solving 16 + 4t = 18 + 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. 16 + 4t + -3t = 18 + 3t + -3t Combine like terms: 4t + -3t = 1t 16 + 1t = 18 + 3t + -3t Combine like terms: 3t + -3t = 0 16 + 1t = 18 + 0 16 + 1t = 18 Add '-16' to each side of the equation. 16 + -16 + 1t = 18 + -16 Combine like terms: 16 + -16 = 0 0 + 1t = 18 + -16 1t = 18 + -16 Combine like terms: 18 + -16 = 2 1t = 2 Divide each side by '1'. t = 2 Simplifying t = 2
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