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Simplifying 3(p + -6) = 6(p + 4) Reorder the terms: 3(-6 + p) = 6(p + 4) (-6 * 3 + p * 3) = 6(p + 4) (-18 + 3p) = 6(p + 4) Reorder the terms: -18 + 3p = 6(4 + p) -18 + 3p = (4 * 6 + p * 6) -18 + 3p = (24 + 6p) Solving -18 + 3p = 24 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -18 + 3p + -6p = 24 + 6p + -6p Combine like terms: 3p + -6p = -3p -18 + -3p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + -3p = 24 + 0 -18 + -3p = 24 Add '18' to each side of the equation. -18 + 18 + -3p = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -3p = 24 + 18 -3p = 24 + 18 Combine like terms: 24 + 18 = 42 -3p = 42 Divide each side by '-3'. p = -14 Simplifying p = -14
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