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Simplifying -8(t + -3) + 2(6t + 2) = 3(t + 5) + 4 Reorder the terms: -8(-3 + t) + 2(6t + 2) = 3(t + 5) + 4 (-3 * -8 + t * -8) + 2(6t + 2) = 3(t + 5) + 4 (24 + -8t) + 2(6t + 2) = 3(t + 5) + 4 Reorder the terms: 24 + -8t + 2(2 + 6t) = 3(t + 5) + 4 24 + -8t + (2 * 2 + 6t * 2) = 3(t + 5) + 4 24 + -8t + (4 + 12t) = 3(t + 5) + 4 Reorder the terms: 24 + 4 + -8t + 12t = 3(t + 5) + 4 Combine like terms: 24 + 4 = 28 28 + -8t + 12t = 3(t + 5) + 4 Combine like terms: -8t + 12t = 4t 28 + 4t = 3(t + 5) + 4 Reorder the terms: 28 + 4t = 3(5 + t) + 4 28 + 4t = (5 * 3 + t * 3) + 4 28 + 4t = (15 + 3t) + 4 Reorder the terms: 28 + 4t = 15 + 4 + 3t Combine like terms: 15 + 4 = 19 28 + 4t = 19 + 3t Solving 28 + 4t = 19 + 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. 28 + 4t + -3t = 19 + 3t + -3t Combine like terms: 4t + -3t = 1t 28 + 1t = 19 + 3t + -3t Combine like terms: 3t + -3t = 0 28 + 1t = 19 + 0 28 + 1t = 19 Add '-28' to each side of the equation. 28 + -28 + 1t = 19 + -28 Combine like terms: 28 + -28 = 0 0 + 1t = 19 + -28 1t = 19 + -28 Combine like terms: 19 + -28 = -9 1t = -9 Divide each side by '1'. t = -9 Simplifying t = -9
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