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Simplifying -39 + 3p = 3(6p + 7) Reorder the terms: -39 + 3p = 3(7 + 6p) -39 + 3p = (7 * 3 + 6p * 3) -39 + 3p = (21 + 18p) Solving -39 + 3p = 21 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -39 + 3p + -18p = 21 + 18p + -18p Combine like terms: 3p + -18p = -15p -39 + -15p = 21 + 18p + -18p Combine like terms: 18p + -18p = 0 -39 + -15p = 21 + 0 -39 + -15p = 21 Add '39' to each side of the equation. -39 + 39 + -15p = 21 + 39 Combine like terms: -39 + 39 = 0 0 + -15p = 21 + 39 -15p = 21 + 39 Combine like terms: 21 + 39 = 60 -15p = 60 Divide each side by '-15'. p = -4 Simplifying p = -4
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