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Simplifying -40 + 6k = -4(1 + -3k) -40 + 6k = (1 * -4 + -3k * -4) -40 + 6k = (-4 + 12k) Solving -40 + 6k = -4 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -40 + 6k + -12k = -4 + 12k + -12k Combine like terms: 6k + -12k = -6k -40 + -6k = -4 + 12k + -12k Combine like terms: 12k + -12k = 0 -40 + -6k = -4 + 0 -40 + -6k = -4 Add '40' to each side of the equation. -40 + 40 + -6k = -4 + 40 Combine like terms: -40 + 40 = 0 0 + -6k = -4 + 40 -6k = -4 + 40 Combine like terms: -4 + 40 = 36 -6k = 36 Divide each side by '-6'. k = -6 Simplifying k = -6
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