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Simplifying 8(t + 2) + -3(t + -4) = t(-7) + 8 Reorder the terms: 8(2 + t) + -3(t + -4) = t(-7) + 8 (2 * 8 + t * 8) + -3(t + -4) = t(-7) + 8 (16 + 8t) + -3(t + -4) = t(-7) + 8 Reorder the terms: 16 + 8t + -3(-4 + t) = t(-7) + 8 16 + 8t + (-4 * -3 + t * -3) = t(-7) + 8 16 + 8t + (12 + -3t) = t(-7) + 8 Reorder the terms: 16 + 12 + 8t + -3t = t(-7) + 8 Combine like terms: 16 + 12 = 28 28 + 8t + -3t = t(-7) + 8 Combine like terms: 8t + -3t = 5t 28 + 5t = t(-7) + 8 Reorder the terms for easier multiplication: 28 + 5t = -7t + 8 Reorder the terms: 28 + 5t = 8 + -7t Solving 28 + 5t = 8 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. 28 + 5t + 7t = 8 + -7t + 7t Combine like terms: 5t + 7t = 12t 28 + 12t = 8 + -7t + 7t Combine like terms: -7t + 7t = 0 28 + 12t = 8 + 0 28 + 12t = 8 Add '-28' to each side of the equation. 28 + -28 + 12t = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 12t = 8 + -28 12t = 8 + -28 Combine like terms: 8 + -28 = -20 12t = -20 Divide each side by '12'. t = -1.666666667 Simplifying t = -1.666666667
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