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Simplifying (4p + -7p) * 2 + (5q + -8p) * 2 = 0 Combine like terms: 4p + -7p = -3p (-3p) * 2 + (5q + -8p) * 2 = 0 Remove parenthesis around (-3p) -3p * 2 + (5q + -8p) * 2 = 0 Reorder the terms for easier multiplication: -3 * 2p + (5q + -8p) * 2 = 0 Multiply -3 * 2 -6p + (5q + -8p) * 2 = 0 Reorder the terms: -6p + (-8p + 5q) * 2 = 0 Reorder the terms for easier multiplication: -6p + 2(-8p + 5q) = 0 -6p + (-8p * 2 + 5q * 2) = 0 -6p + (-16p + 10q) = 0 Combine like terms: -6p + -16p = -22p -22p + 10q = 0 Solving -22p + 10q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10q' to each side of the equation. -22p + 10q + -10q = 0 + -10q Combine like terms: 10q + -10q = 0 -22p + 0 = 0 + -10q -22p = 0 + -10q Remove the zero: -22p = -10q Divide each side by '-22'. p = 0.4545454545q Simplifying p = 0.4545454545q
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