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Simplifying 6x(7x + 9y + -3p) = 0 Reorder the terms: 6x(-3p + 7x + 9y) = 0 (-3p * 6x + 7x * 6x + 9y * 6x) = 0 Reorder the terms: (-18px + 54xy + 42x2) = 0 (-18px + 54xy + 42x2) = 0 Solving -18px + 54xy + 42x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-54xy' to each side of the equation. -18px + 54xy + -54xy + 42x2 = 0 + -54xy Combine like terms: 54xy + -54xy = 0 -18px + 0 + 42x2 = 0 + -54xy -18px + 42x2 = 0 + -54xy Remove the zero: -18px + 42x2 = -54xy Add '-42x2' to each side of the equation. -18px + 42x2 + -42x2 = -54xy + -42x2 Combine like terms: 42x2 + -42x2 = 0 -18px + 0 = -54xy + -42x2 -18px = -54xy + -42x2 Divide each side by '-18x'. p = 3y + 2.333333333x Simplifying p = 3y + 2.333333333x Reorder the terms: p = 2.333333333x + 3y
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