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Simplifying (3x + 3y) + (3p + 3q) = 0 Remove parenthesis around (3x + 3y) 3x + 3y + (3p + 3q) = 0 Remove parenthesis around (3p + 3q) 3x + 3y + 3p + 3q = 0 Reorder the terms: 3p + 3q + 3x + 3y = 0 Solving 3p + 3q + 3x + 3y = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. 3p + 3q + 3x + -3q + 3y = 0 + -3q Reorder the terms: 3p + 3q + -3q + 3x + 3y = 0 + -3q Combine like terms: 3q + -3q = 0 3p + 0 + 3x + 3y = 0 + -3q 3p + 3x + 3y = 0 + -3q Remove the zero: 3p + 3x + 3y = -3q Add '-3x' to each side of the equation. 3p + 3x + -3x + 3y = -3q + -3x Combine like terms: 3x + -3x = 0 3p + 0 + 3y = -3q + -3x 3p + 3y = -3q + -3x Add '-3y' to each side of the equation. 3p + 3y + -3y = -3q + -3x + -3y Combine like terms: 3y + -3y = 0 3p + 0 = -3q + -3x + -3y 3p = -3q + -3x + -3y Divide each side by '3'. p = -1q + -1x + -1y Simplifying p = -1q + -1x + -1y
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