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Simplifying -3(1 + 4k) = 4 + -7(1 + -6k) (1 * -3 + 4k * -3) = 4 + -7(1 + -6k) (-3 + -12k) = 4 + -7(1 + -6k) -3 + -12k = 4 + (1 * -7 + -6k * -7) -3 + -12k = 4 + (-7 + 42k) Combine like terms: 4 + -7 = -3 -3 + -12k = -3 + 42k Add '3' to each side of the equation. -3 + 3 + -12k = -3 + 3 + 42k Combine like terms: -3 + 3 = 0 0 + -12k = -3 + 3 + 42k -12k = -3 + 3 + 42k Combine like terms: -3 + 3 = 0 -12k = 0 + 42k -12k = 42k Solving -12k = 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. -12k + -42k = 42k + -42k Combine like terms: -12k + -42k = -54k -54k = 42k + -42k Combine like terms: 42k + -42k = 0 -54k = 0 Divide each side by '-54'. k = 0 Simplifying k = 0
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