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Simplifying 8(4 + t) + -4(t + 2) = 0 (4 * 8 + t * 8) + -4(t + 2) = 0 (32 + 8t) + -4(t + 2) = 0 Reorder the terms: 32 + 8t + -4(2 + t) = 0 32 + 8t + (2 * -4 + t * -4) = 0 32 + 8t + (-8 + -4t) = 0 Reorder the terms: 32 + -8 + 8t + -4t = 0 Combine like terms: 32 + -8 = 24 24 + 8t + -4t = 0 Combine like terms: 8t + -4t = 4t 24 + 4t = 0 Solving 24 + 4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 4t = 0 + -24 4t = 0 + -24 Combine like terms: 0 + -24 = -24 4t = -24 Divide each side by '4'. t = -6 Simplifying t = -6
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