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Simplifying -12(k + -11) + -4 = 10k + 12(k + 11) Reorder the terms: -12(-11 + k) + -4 = 10k + 12(k + 11) (-11 * -12 + k * -12) + -4 = 10k + 12(k + 11) (132 + -12k) + -4 = 10k + 12(k + 11) Reorder the terms: 132 + -4 + -12k = 10k + 12(k + 11) Combine like terms: 132 + -4 = 128 128 + -12k = 10k + 12(k + 11) Reorder the terms: 128 + -12k = 10k + 12(11 + k) 128 + -12k = 10k + (11 * 12 + k * 12) 128 + -12k = 10k + (132 + 12k) Reorder the terms: 128 + -12k = 132 + 10k + 12k Combine like terms: 10k + 12k = 22k 128 + -12k = 132 + 22k Solving 128 + -12k = 132 + 22k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22k' to each side of the equation. 128 + -12k + -22k = 132 + 22k + -22k Combine like terms: -12k + -22k = -34k 128 + -34k = 132 + 22k + -22k Combine like terms: 22k + -22k = 0 128 + -34k = 132 + 0 128 + -34k = 132 Add '-128' to each side of the equation. 128 + -128 + -34k = 132 + -128 Combine like terms: 128 + -128 = 0 0 + -34k = 132 + -128 -34k = 132 + -128 Combine like terms: 132 + -128 = 4 -34k = 4 Divide each side by '-34'. k = -0.1176470588 Simplifying k = -0.1176470588
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