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Simplifying -32 + p = -7 + 3(6p + 3) Reorder the terms: -32 + p = -7 + 3(3 + 6p) -32 + p = -7 + (3 * 3 + 6p * 3) -32 + p = -7 + (9 + 18p) Combine like terms: -7 + 9 = 2 -32 + p = 2 + 18p Solving -32 + p = 2 + 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. -32 + p + -18p = 2 + 18p + -18p Combine like terms: p + -18p = -17p -32 + -17p = 2 + 18p + -18p Combine like terms: 18p + -18p = 0 -32 + -17p = 2 + 0 -32 + -17p = 2 Add '32' to each side of the equation. -32 + 32 + -17p = 2 + 32 Combine like terms: -32 + 32 = 0 0 + -17p = 2 + 32 -17p = 2 + 32 Combine like terms: 2 + 32 = 34 -17p = 34 Divide each side by '-17'. p = -2 Simplifying p = -2
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