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Simplifying 7(k + -3) = -4(1 + -6k) Reorder the terms: 7(-3 + k) = -4(1 + -6k) (-3 * 7 + k * 7) = -4(1 + -6k) (-21 + 7k) = -4(1 + -6k) -21 + 7k = (1 * -4 + -6k * -4) -21 + 7k = (-4 + 24k) Solving -21 + 7k = -4 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -21 + 7k + -24k = -4 + 24k + -24k Combine like terms: 7k + -24k = -17k -21 + -17k = -4 + 24k + -24k Combine like terms: 24k + -24k = 0 -21 + -17k = -4 + 0 -21 + -17k = -4 Add '21' to each side of the equation. -21 + 21 + -17k = -4 + 21 Combine like terms: -21 + 21 = 0 0 + -17k = -4 + 21 -17k = -4 + 21 Combine like terms: -4 + 21 = 17 -17k = 17 Divide each side by '-17'. k = -1 Simplifying k = -1
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