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Simplifying -4(2p + 3p) + -5(4q + p) = 0 Combine like terms: 2p + 3p = 5p -4(5p) + -5(4q + p) = 0 Remove parenthesis around (5p) -4 * 5p + -5(4q + p) = 0 Multiply -4 * 5 -20p + -5(4q + p) = 0 Reorder the terms: -20p + -5(p + 4q) = 0 -20p + (p * -5 + 4q * -5) = 0 -20p + (-5p + -20q) = 0 Combine like terms: -20p + -5p = -25p -25p + -20q = 0 Solving -25p + -20q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20q' to each side of the equation. -25p + -20q + 20q = 0 + 20q Combine like terms: -20q + 20q = 0 -25p + 0 = 0 + 20q -25p = 0 + 20q Remove the zero: -25p = 20q Divide each side by '-25'. p = -0.8q Simplifying p = -0.8q
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