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Simplifying 6(k + -11) + k = -1(k + -7) + -3 Reorder the terms: 6(-11 + k) + k = -1(k + -7) + -3 (-11 * 6 + k * 6) + k = -1(k + -7) + -3 (-66 + 6k) + k = -1(k + -7) + -3 Combine like terms: 6k + k = 7k -66 + 7k = -1(k + -7) + -3 Reorder the terms: -66 + 7k = -1(-7 + k) + -3 -66 + 7k = (-7 * -1 + k * -1) + -3 -66 + 7k = (7 + -1k) + -3 Reorder the terms: -66 + 7k = 7 + -3 + -1k Combine like terms: 7 + -3 = 4 -66 + 7k = 4 + -1k Solving -66 + 7k = 4 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -66 + 7k + k = 4 + -1k + k Combine like terms: 7k + k = 8k -66 + 8k = 4 + -1k + k Combine like terms: -1k + k = 0 -66 + 8k = 4 + 0 -66 + 8k = 4 Add '66' to each side of the equation. -66 + 66 + 8k = 4 + 66 Combine like terms: -66 + 66 = 0 0 + 8k = 4 + 66 8k = 4 + 66 Combine like terms: 4 + 66 = 70 8k = 70 Divide each side by '8'. k = 8.75 Simplifying k = 8.75
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