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Simplifying 7(-2k + 6) = -4k + 2 Reorder the terms: 7(6 + -2k) = -4k + 2 (6 * 7 + -2k * 7) = -4k + 2 (42 + -14k) = -4k + 2 Reorder the terms: 42 + -14k = 2 + -4k Solving 42 + -14k = 2 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 42 + -14k + 4k = 2 + -4k + 4k Combine like terms: -14k + 4k = -10k 42 + -10k = 2 + -4k + 4k Combine like terms: -4k + 4k = 0 42 + -10k = 2 + 0 42 + -10k = 2 Add '-42' to each side of the equation. 42 + -42 + -10k = 2 + -42 Combine like terms: 42 + -42 = 0 0 + -10k = 2 + -42 -10k = 2 + -42 Combine like terms: 2 + -42 = -40 -10k = -40 Divide each side by '-10'. k = 4 Simplifying k = 4
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