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Simplifying 6(t + -11) = 7(t + 6) + -10t Reorder the terms: 6(-11 + t) = 7(t + 6) + -10t (-11 * 6 + t * 6) = 7(t + 6) + -10t (-66 + 6t) = 7(t + 6) + -10t Reorder the terms: -66 + 6t = 7(6 + t) + -10t -66 + 6t = (6 * 7 + t * 7) + -10t -66 + 6t = (42 + 7t) + -10t Combine like terms: 7t + -10t = -3t -66 + 6t = 42 + -3t Solving -66 + 6t = 42 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -66 + 6t + 3t = 42 + -3t + 3t Combine like terms: 6t + 3t = 9t -66 + 9t = 42 + -3t + 3t Combine like terms: -3t + 3t = 0 -66 + 9t = 42 + 0 -66 + 9t = 42 Add '66' to each side of the equation. -66 + 66 + 9t = 42 + 66 Combine like terms: -66 + 66 = 0 0 + 9t = 42 + 66 9t = 42 + 66 Combine like terms: 42 + 66 = 108 9t = 108 Divide each side by '9'. t = 12 Simplifying t = 12
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