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Simplifying 4p + 5q = 4(6p + -2q) 4p + 5q = (6p * 4 + -2q * 4) 4p + 5q = (24p + -8q) Solving 4p + 5q = 24p + -8q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 4p + -24p + 5q = 24p + -24p + -8q Combine like terms: 4p + -24p = -20p -20p + 5q = 24p + -24p + -8q Combine like terms: 24p + -24p = 0 -20p + 5q = 0 + -8q -20p + 5q = -8q Add '-5q' to each side of the equation. -20p + 5q + -5q = -8q + -5q Combine like terms: 5q + -5q = 0 -20p + 0 = -8q + -5q -20p = -8q + -5q Combine like terms: -8q + -5q = -13q -20p = -13q Divide each side by '-20'. p = 0.65q Simplifying p = 0.65q
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