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Simplifying 6(3p + -5) + -1p = -30 + -1p Reorder the terms: 6(-5 + 3p) + -1p = -30 + -1p (-5 * 6 + 3p * 6) + -1p = -30 + -1p (-30 + 18p) + -1p = -30 + -1p Combine like terms: 18p + -1p = 17p -30 + 17p = -30 + -1p Add '30' to each side of the equation. -30 + 30 + 17p = -30 + 30 + -1p Combine like terms: -30 + 30 = 0 0 + 17p = -30 + 30 + -1p 17p = -30 + 30 + -1p Combine like terms: -30 + 30 = 0 17p = 0 + -1p 17p = -1p Solving 17p = -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 17p + p = -1p + p Combine like terms: 17p + p = 18p 18p = -1p + p Combine like terms: -1p + p = 0 18p = 0 Divide each side by '18'. p = 0 Simplifying p = 0
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