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Simplifying -1(1 + 6k) + -7 = 8(k + -8) (1 * -1 + 6k * -1) + -7 = 8(k + -8) (-1 + -6k) + -7 = 8(k + -8) Reorder the terms: -1 + -7 + -6k = 8(k + -8) Combine like terms: -1 + -7 = -8 -8 + -6k = 8(k + -8) Reorder the terms: -8 + -6k = 8(-8 + k) -8 + -6k = (-8 * 8 + k * 8) -8 + -6k = (-64 + 8k) Solving -8 + -6k = -64 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -8 + -6k + -8k = -64 + 8k + -8k Combine like terms: -6k + -8k = -14k -8 + -14k = -64 + 8k + -8k Combine like terms: 8k + -8k = 0 -8 + -14k = -64 + 0 -8 + -14k = -64 Add '8' to each side of the equation. -8 + 8 + -14k = -64 + 8 Combine like terms: -8 + 8 = 0 0 + -14k = -64 + 8 -14k = -64 + 8 Combine like terms: -64 + 8 = -56 -14k = -56 Divide each side by '-14'. k = 4 Simplifying k = 4
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