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Simplifying -48 = 19 + -1(6k + -5) Reorder the terms: -48 = 19 + -1(-5 + 6k) -48 = 19 + (-5 * -1 + 6k * -1) -48 = 19 + (5 + -6k) Combine like terms: 19 + 5 = 24 -48 = 24 + -6k Solving -48 = 24 + -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. -48 + 6k = 24 + -6k + 6k Combine like terms: -6k + 6k = 0 -48 + 6k = 24 + 0 -48 + 6k = 24 Add '48' to each side of the equation. -48 + 48 + 6k = 24 + 48 Combine like terms: -48 + 48 = 0 0 + 6k = 24 + 48 6k = 24 + 48 Combine like terms: 24 + 48 = 72 6k = 72 Divide each side by '6'. k = 12 Simplifying k = 12
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