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Simplifying 4(t + -8) + 2t = 0 Reorder the terms: 4(-8 + t) + 2t = 0 (-8 * 4 + t * 4) + 2t = 0 (-32 + 4t) + 2t = 0 Combine like terms: 4t + 2t = 6t -32 + 6t = 0 Solving -32 + 6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 6t = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 6t = 0 + 32 6t = 0 + 32 Combine like terms: 0 + 32 = 32 6t = 32 Divide each side by '6'. t = 5.333333333 Simplifying t = 5.333333333
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