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Simplifying 9 + -1(4pk + -7x) + 8x = 0 9 + (4kp * -1 + -7x * -1) + 8x = 0 9 + (-4kp + 7x) + 8x = 0 Combine like terms: 7x + 8x = 15x 9 + -4kp + 15x = 0 Solving 9 + -4kp + 15x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -4kp + -9 + 15x = 0 + -9 Reorder the terms: 9 + -9 + -4kp + 15x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4kp + 15x = 0 + -9 -4kp + 15x = 0 + -9 Combine like terms: 0 + -9 = -9 -4kp + 15x = -9 Add '-15x' to each side of the equation. -4kp + 15x + -15x = -9 + -15x Combine like terms: 15x + -15x = 0 -4kp + 0 = -9 + -15x -4kp = -9 + -15x Divide each side by '-4p'. k = 2.25p-1 + 3.75p-1x Simplifying k = 2.25p-1 + 3.75p-1x
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