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Simplifying 7 + -8(3k + 5) = 0 Reorder the terms: 7 + -8(5 + 3k) = 0 7 + (5 * -8 + 3k * -8) = 0 7 + (-40 + -24k) = 0 Combine like terms: 7 + -40 = -33 -33 + -24k = 0 Solving -33 + -24k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -24k = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -24k = 0 + 33 -24k = 0 + 33 Combine like terms: 0 + 33 = 33 -24k = 33 Divide each side by '-24'. k = -1.375 Simplifying k = -1.375
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