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Simplifying 8(t + 2) + -3(t + -4) = 0 Reorder the terms: 8(2 + t) + -3(t + -4) = 0 (2 * 8 + t * 8) + -3(t + -4) = 0 (16 + 8t) + -3(t + -4) = 0 Reorder the terms: 16 + 8t + -3(-4 + t) = 0 16 + 8t + (-4 * -3 + t * -3) = 0 16 + 8t + (12 + -3t) = 0 Reorder the terms: 16 + 12 + 8t + -3t = 0 Combine like terms: 16 + 12 = 28 28 + 8t + -3t = 0 Combine like terms: 8t + -3t = 5t 28 + 5t = 0 Solving 28 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 5t = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 5t = 0 + -28 5t = 0 + -28 Combine like terms: 0 + -28 = -28 5t = -28 Divide each side by '5'. t = -5.6 Simplifying t = -5.6
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