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Simplifying 13k + -11 = -3(k + 5) Reorder the terms: -11 + 13k = -3(k + 5) Reorder the terms: -11 + 13k = -3(5 + k) -11 + 13k = (5 * -3 + k * -3) -11 + 13k = (-15 + -3k) Solving -11 + 13k = -15 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -11 + 13k + 3k = -15 + -3k + 3k Combine like terms: 13k + 3k = 16k -11 + 16k = -15 + -3k + 3k Combine like terms: -3k + 3k = 0 -11 + 16k = -15 + 0 -11 + 16k = -15 Add '11' to each side of the equation. -11 + 11 + 16k = -15 + 11 Combine like terms: -11 + 11 = 0 0 + 16k = -15 + 11 16k = -15 + 11 Combine like terms: -15 + 11 = -4 16k = -4 Divide each side by '16'. k = -0.25 Simplifying k = -0.25
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