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Simplifying 4(t + -6) + 2(t + 12) = 0 Reorder the terms: 4(-6 + t) + 2(t + 12) = 0 (-6 * 4 + t * 4) + 2(t + 12) = 0 (-24 + 4t) + 2(t + 12) = 0 Reorder the terms: -24 + 4t + 2(12 + t) = 0 -24 + 4t + (12 * 2 + t * 2) = 0 -24 + 4t + (24 + 2t) = 0 Reorder the terms: -24 + 24 + 4t + 2t = 0 Combine like terms: -24 + 24 = 0 0 + 4t + 2t = 0 4t + 2t = 0 Combine like terms: 4t + 2t = 6t 6t = 0 Solving 6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Divide each side by '6'. t = 0 Simplifying t = 0
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