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Simplifying 7(k + -8) + 11 = -1(k + -3) Reorder the terms: 7(-8 + k) + 11 = -1(k + -3) (-8 * 7 + k * 7) + 11 = -1(k + -3) (-56 + 7k) + 11 = -1(k + -3) Reorder the terms: -56 + 11 + 7k = -1(k + -3) Combine like terms: -56 + 11 = -45 -45 + 7k = -1(k + -3) Reorder the terms: -45 + 7k = -1(-3 + k) -45 + 7k = (-3 * -1 + k * -1) -45 + 7k = (3 + -1k) Solving -45 + 7k = 3 + -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. -45 + 7k + k = 3 + -1k + k Combine like terms: 7k + k = 8k -45 + 8k = 3 + -1k + k Combine like terms: -1k + k = 0 -45 + 8k = 3 + 0 -45 + 8k = 3 Add '45' to each side of the equation. -45 + 45 + 8k = 3 + 45 Combine like terms: -45 + 45 = 0 0 + 8k = 3 + 45 8k = 3 + 45 Combine like terms: 3 + 45 = 48 8k = 48 Divide each side by '8'. k = 6 Simplifying k = 6
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