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Simplifying 3(t + 8) + 4 = 8(t + 2) + -3 Reorder the terms: 3(8 + t) + 4 = 8(t + 2) + -3 (8 * 3 + t * 3) + 4 = 8(t + 2) + -3 (24 + 3t) + 4 = 8(t + 2) + -3 Reorder the terms: 24 + 4 + 3t = 8(t + 2) + -3 Combine like terms: 24 + 4 = 28 28 + 3t = 8(t + 2) + -3 Reorder the terms: 28 + 3t = 8(2 + t) + -3 28 + 3t = (2 * 8 + t * 8) + -3 28 + 3t = (16 + 8t) + -3 Reorder the terms: 28 + 3t = 16 + -3 + 8t Combine like terms: 16 + -3 = 13 28 + 3t = 13 + 8t Solving 28 + 3t = 13 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 28 + 3t + -8t = 13 + 8t + -8t Combine like terms: 3t + -8t = -5t 28 + -5t = 13 + 8t + -8t Combine like terms: 8t + -8t = 0 28 + -5t = 13 + 0 28 + -5t = 13 Add '-28' to each side of the equation. 28 + -28 + -5t = 13 + -28 Combine like terms: 28 + -28 = 0 0 + -5t = 13 + -28 -5t = 13 + -28 Combine like terms: 13 + -28 = -15 -5t = -15 Divide each side by '-5'. t = 3 Simplifying t = 3
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