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Simplifying -6(k + 1) = 4(2k + -2) Reorder the terms: -6(1 + k) = 4(2k + -2) (1 * -6 + k * -6) = 4(2k + -2) (-6 + -6k) = 4(2k + -2) Reorder the terms: -6 + -6k = 4(-2 + 2k) -6 + -6k = (-2 * 4 + 2k * 4) -6 + -6k = (-8 + 8k) Solving -6 + -6k = -8 + 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. -6 + -6k + -8k = -8 + 8k + -8k Combine like terms: -6k + -8k = -14k -6 + -14k = -8 + 8k + -8k Combine like terms: 8k + -8k = 0 -6 + -14k = -8 + 0 -6 + -14k = -8 Add '6' to each side of the equation. -6 + 6 + -14k = -8 + 6 Combine like terms: -6 + 6 = 0 0 + -14k = -8 + 6 -14k = -8 + 6 Combine like terms: -8 + 6 = -2 -14k = -2 Divide each side by '-14'. k = 0.1428571429 Simplifying k = 0.1428571429
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