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Simplifying -116 = -6k + -4(1 + 2k) -116 = -6k + (1 * -4 + 2k * -4) -116 = -6k + (-4 + -8k) Reorder the terms: -116 = -4 + -6k + -8k Combine like terms: -6k + -8k = -14k -116 = -4 + -14k Solving -116 = -4 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -116 + 14k = -4 + -14k + 14k Combine like terms: -14k + 14k = 0 -116 + 14k = -4 + 0 -116 + 14k = -4 Add '116' to each side of the equation. -116 + 116 + 14k = -4 + 116 Combine like terms: -116 + 116 = 0 0 + 14k = -4 + 116 14k = -4 + 116 Combine like terms: -4 + 116 = 112 14k = 112 Divide each side by '14'. k = 8 Simplifying k = 8
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