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Simplifying -4(1 + 5k) + -1k = -19 + -6k (1 * -4 + 5k * -4) + -1k = -19 + -6k (-4 + -20k) + -1k = -19 + -6k Combine like terms: -20k + -1k = -21k -4 + -21k = -19 + -6k Solving -4 + -21k = -19 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -4 + -21k + 6k = -19 + -6k + 6k Combine like terms: -21k + 6k = -15k -4 + -15k = -19 + -6k + 6k Combine like terms: -6k + 6k = 0 -4 + -15k = -19 + 0 -4 + -15k = -19 Add '4' to each side of the equation. -4 + 4 + -15k = -19 + 4 Combine like terms: -4 + 4 = 0 0 + -15k = -19 + 4 -15k = -19 + 4 Combine like terms: -19 + 4 = -15 -15k = -15 Divide each side by '-15'. k = 1 Simplifying k = 1
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