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Simplifying -162 = 8k + -7(-2 + -2k) -162 = 8k + (-2 * -7 + -2k * -7) -162 = 8k + (14 + 14k) Reorder the terms: -162 = 14 + 8k + 14k Combine like terms: 8k + 14k = 22k -162 = 14 + 22k Solving -162 = 14 + 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. -162 + -22k = 14 + 22k + -22k Combine like terms: 22k + -22k = 0 -162 + -22k = 14 + 0 -162 + -22k = 14 Add '162' to each side of the equation. -162 + 162 + -22k = 14 + 162 Combine like terms: -162 + 162 = 0 0 + -22k = 14 + 162 -22k = 14 + 162 Combine like terms: 14 + 162 = 176 -22k = 176 Divide each side by '-22'. k = -8 Simplifying k = -8
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