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Simplifying -4 + (-4k) = 7(6 + 6k) -4 + (-4k) = (6 * 7 + 6k * 7) -4 + (-4k) = (42 + 42k) Solving -4 + (-4k) = 42 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. -4 + (-4k) + -42k = 42 + 42k + -42k Combine like terms: (-4k) + -42k = -46k -4 + -46k = 42 + 42k + -42k Combine like terms: 42k + -42k = 0 -4 + -46k = 42 + 0 -4 + -46k = 42 Add '4' to each side of the equation. -4 + 4 + -46k = 42 + 4 Combine like terms: -4 + 4 = 0 0 + -46k = 42 + 4 -46k = 42 + 4 Combine like terms: 42 + 4 = 46 -46k = 46 Divide each side by '-46'. k = -1 Simplifying k = -1
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