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Simplifying 4(p + 6q + -12) = 0 Reorder the terms: 4(-12 + p + 6q) = 0 (-12 * 4 + p * 4 + 6q * 4) = 0 (-48 + 4p + 24q) = 0 Solving -48 + 4p + 24q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 4p + 48 + 24q = 0 + 48 Reorder the terms: -48 + 48 + 4p + 24q = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 4p + 24q = 0 + 48 4p + 24q = 0 + 48 Combine like terms: 0 + 48 = 48 4p + 24q = 48 Add '-24q' to each side of the equation. 4p + 24q + -24q = 48 + -24q Combine like terms: 24q + -24q = 0 4p + 0 = 48 + -24q 4p = 48 + -24q Divide each side by '4'. p = 12 + -6q Simplifying p = 12 + -6q
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