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Simplifying -1(11k + -10) + -7(12 + 11k) = 0 Reorder the terms: -1(-10 + 11k) + -7(12 + 11k) = 0 (-10 * -1 + 11k * -1) + -7(12 + 11k) = 0 (10 + -11k) + -7(12 + 11k) = 0 10 + -11k + (12 * -7 + 11k * -7) = 0 10 + -11k + (-84 + -77k) = 0 Reorder the terms: 10 + -84 + -11k + -77k = 0 Combine like terms: 10 + -84 = -74 -74 + -11k + -77k = 0 Combine like terms: -11k + -77k = -88k -74 + -88k = 0 Solving -74 + -88k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + -88k = 0 + 74 Combine like terms: -74 + 74 = 0 0 + -88k = 0 + 74 -88k = 0 + 74 Combine like terms: 0 + 74 = 74 -88k = 74 Divide each side by '-88'. k = -0.8409090909 Simplifying k = -0.8409090909
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