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Simplifying -6(p + 3) = p + 9 Reorder the terms: -6(3 + p) = p + 9 (3 * -6 + p * -6) = p + 9 (-18 + -6p) = p + 9 Reorder the terms: -18 + -6p = 9 + p Solving -18 + -6p = 9 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -18 + -6p + -1p = 9 + p + -1p Combine like terms: -6p + -1p = -7p -18 + -7p = 9 + p + -1p Combine like terms: p + -1p = 0 -18 + -7p = 9 + 0 -18 + -7p = 9 Add '18' to each side of the equation. -18 + 18 + -7p = 9 + 18 Combine like terms: -18 + 18 = 0 0 + -7p = 9 + 18 -7p = 9 + 18 Combine like terms: 9 + 18 = 27 -7p = 27 Divide each side by '-7'. p = -3.857142857 Simplifying p = -3.857142857
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