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Simplifying -5(6 + 6p) + 2(p + 3) = p + -5p (6 * -5 + 6p * -5) + 2(p + 3) = p + -5p (-30 + -30p) + 2(p + 3) = p + -5p Reorder the terms: -30 + -30p + 2(3 + p) = p + -5p -30 + -30p + (3 * 2 + p * 2) = p + -5p -30 + -30p + (6 + 2p) = p + -5p Reorder the terms: -30 + 6 + -30p + 2p = p + -5p Combine like terms: -30 + 6 = -24 -24 + -30p + 2p = p + -5p Combine like terms: -30p + 2p = -28p -24 + -28p = p + -5p Combine like terms: p + -5p = -4p -24 + -28p = -4p Solving -24 + -28p = -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -24 + -28p + 4p = -4p + 4p Combine like terms: -28p + 4p = -24p -24 + -24p = -4p + 4p Combine like terms: -4p + 4p = 0 -24 + -24p = 0 Add '24' to each side of the equation. -24 + 24 + -24p = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -24p = 0 + 24 -24p = 0 + 24 Combine like terms: 0 + 24 = 24 -24p = 24 Divide each side by '-24'. p = -1 Simplifying p = -1
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