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Simplifying 5(4q + -1q) + -1(3p + -2q) = 0 Combine like terms: 4q + -1q = 3q 5(3q) + -1(3p + -2q) = 0 Remove parenthesis around (3q) 5 * 3q + -1(3p + -2q) = 0 Multiply 5 * 3 15q + -1(3p + -2q) = 0 15q + (3p * -1 + -2q * -1) = 0 15q + (-3p + 2q) = 0 Reorder the terms: -3p + 15q + 2q = 0 Combine like terms: 15q + 2q = 17q -3p + 17q = 0 Solving -3p + 17q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-17q' to each side of the equation. -3p + 17q + -17q = 0 + -17q Combine like terms: 17q + -17q = 0 -3p + 0 = 0 + -17q -3p = 0 + -17q Remove the zero: -3p = -17q Divide each side by '-3'. p = 5.666666667q Simplifying p = 5.666666667q
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