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Simplifying 6(p + 3) = 5(p + -3) Reorder the terms: 6(3 + p) = 5(p + -3) (3 * 6 + p * 6) = 5(p + -3) (18 + 6p) = 5(p + -3) Reorder the terms: 18 + 6p = 5(-3 + p) 18 + 6p = (-3 * 5 + p * 5) 18 + 6p = (-15 + 5p) Solving 18 + 6p = -15 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 18 + 6p + -5p = -15 + 5p + -5p Combine like terms: 6p + -5p = 1p 18 + 1p = -15 + 5p + -5p Combine like terms: 5p + -5p = 0 18 + 1p = -15 + 0 18 + 1p = -15 Add '-18' to each side of the equation. 18 + -18 + 1p = -15 + -18 Combine like terms: 18 + -18 = 0 0 + 1p = -15 + -18 1p = -15 + -18 Combine like terms: -15 + -18 = -33 1p = -33 Divide each side by '1'. p = -33 Simplifying p = -33
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