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Simplifying 7x + 12y + 18p + -3x + 8y + -10p = 0 Reorder the terms: 18p + -10p + 7x + -3x + 12y + 8y = 0 Combine like terms: 18p + -10p = 8p 8p + 7x + -3x + 12y + 8y = 0 Combine like terms: 7x + -3x = 4x 8p + 4x + 12y + 8y = 0 Combine like terms: 12y + 8y = 20y 8p + 4x + 20y = 0 Solving 8p + 4x + 20y = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4x' to each side of the equation. 8p + 4x + -4x + 20y = 0 + -4x Combine like terms: 4x + -4x = 0 8p + 0 + 20y = 0 + -4x 8p + 20y = 0 + -4x Remove the zero: 8p + 20y = -4x Add '-20y' to each side of the equation. 8p + 20y + -20y = -4x + -20y Combine like terms: 20y + -20y = 0 8p + 0 = -4x + -20y 8p = -4x + -20y Divide each side by '8'. p = -0.5x + -2.5y Simplifying p = -0.5x + -2.5y
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