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Simplifying 8k + -9p + -40 + 29 + -3p = 0 Reorder the terms: -40 + 29 + 8k + -9p + -3p = 0 Combine like terms: -40 + 29 = -11 -11 + 8k + -9p + -3p = 0 Combine like terms: -9p + -3p = -12p -11 + 8k + -12p = 0 Solving -11 + 8k + -12p = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 8k + 11 + -12p = 0 + 11 Reorder the terms: -11 + 11 + 8k + -12p = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 8k + -12p = 0 + 11 8k + -12p = 0 + 11 Combine like terms: 0 + 11 = 11 8k + -12p = 11 Add '12p' to each side of the equation. 8k + -12p + 12p = 11 + 12p Combine like terms: -12p + 12p = 0 8k + 0 = 11 + 12p 8k = 11 + 12p Divide each side by '8'. k = 1.375 + 1.5p Simplifying k = 1.375 + 1.5p
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