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Simplifying 3(p + q + 7) + -4(2p + 4q + 6) = 0 Reorder the terms: 3(7 + p + q) + -4(2p + 4q + 6) = 0 (7 * 3 + p * 3 + q * 3) + -4(2p + 4q + 6) = 0 (21 + 3p + 3q) + -4(2p + 4q + 6) = 0 Reorder the terms: 21 + 3p + 3q + -4(6 + 2p + 4q) = 0 21 + 3p + 3q + (6 * -4 + 2p * -4 + 4q * -4) = 0 21 + 3p + 3q + (-24 + -8p + -16q) = 0 Reorder the terms: 21 + -24 + 3p + -8p + 3q + -16q = 0 Combine like terms: 21 + -24 = -3 -3 + 3p + -8p + 3q + -16q = 0 Combine like terms: 3p + -8p = -5p -3 + -5p + 3q + -16q = 0 Combine like terms: 3q + -16q = -13q -3 + -5p + -13q = 0 Solving -3 + -5p + -13q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -5p + 3 + -13q = 0 + 3 Reorder the terms: -3 + 3 + -5p + -13q = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5p + -13q = 0 + 3 -5p + -13q = 0 + 3 Combine like terms: 0 + 3 = 3 -5p + -13q = 3 Add '13q' to each side of the equation. -5p + -13q + 13q = 3 + 13q Combine like terms: -13q + 13q = 0 -5p + 0 = 3 + 13q -5p = 3 + 13q Divide each side by '-5'. p = -0.6 + -2.6q Simplifying p = -0.6 + -2.6q
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