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Simplifying -8(7k + 9) = 8(-3k + -5) Reorder the terms: -8(9 + 7k) = 8(-3k + -5) (9 * -8 + 7k * -8) = 8(-3k + -5) (-72 + -56k) = 8(-3k + -5) Reorder the terms: -72 + -56k = 8(-5 + -3k) -72 + -56k = (-5 * 8 + -3k * 8) -72 + -56k = (-40 + -24k) Solving -72 + -56k = -40 + -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. -72 + -56k + 24k = -40 + -24k + 24k Combine like terms: -56k + 24k = -32k -72 + -32k = -40 + -24k + 24k Combine like terms: -24k + 24k = 0 -72 + -32k = -40 + 0 -72 + -32k = -40 Add '72' to each side of the equation. -72 + 72 + -32k = -40 + 72 Combine like terms: -72 + 72 = 0 0 + -32k = -40 + 72 -32k = -40 + 72 Combine like terms: -40 + 72 = 32 -32k = 32 Divide each side by '-32'. k = -1 Simplifying k = -1
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