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Simplifying 6(5t + -11) + -12(2t + 5) = 0 Reorder the terms: 6(-11 + 5t) + -12(2t + 5) = 0 (-11 * 6 + 5t * 6) + -12(2t + 5) = 0 (-66 + 30t) + -12(2t + 5) = 0 Reorder the terms: -66 + 30t + -12(5 + 2t) = 0 -66 + 30t + (5 * -12 + 2t * -12) = 0 -66 + 30t + (-60 + -24t) = 0 Reorder the terms: -66 + -60 + 30t + -24t = 0 Combine like terms: -66 + -60 = -126 -126 + 30t + -24t = 0 Combine like terms: 30t + -24t = 6t -126 + 6t = 0 Solving -126 + 6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '126' to each side of the equation. -126 + 126 + 6t = 0 + 126 Combine like terms: -126 + 126 = 0 0 + 6t = 0 + 126 6t = 0 + 126 Combine like terms: 0 + 126 = 126 6t = 126 Divide each side by '6'. t = 21 Simplifying t = 21
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