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Simplifying -3p + -5(6 + -2p) = 3(p + -2) + -24 -3p + (6 * -5 + -2p * -5) = 3(p + -2) + -24 -3p + (-30 + 10p) = 3(p + -2) + -24 Reorder the terms: -30 + -3p + 10p = 3(p + -2) + -24 Combine like terms: -3p + 10p = 7p -30 + 7p = 3(p + -2) + -24 Reorder the terms: -30 + 7p = 3(-2 + p) + -24 -30 + 7p = (-2 * 3 + p * 3) + -24 -30 + 7p = (-6 + 3p) + -24 Reorder the terms: -30 + 7p = -6 + -24 + 3p Combine like terms: -6 + -24 = -30 -30 + 7p = -30 + 3p Add '30' to each side of the equation. -30 + 30 + 7p = -30 + 30 + 3p Combine like terms: -30 + 30 = 0 0 + 7p = -30 + 30 + 3p 7p = -30 + 30 + 3p Combine like terms: -30 + 30 = 0 7p = 0 + 3p 7p = 3p Solving 7p = 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 7p + -3p = 3p + -3p Combine like terms: 7p + -3p = 4p 4p = 3p + -3p Combine like terms: 3p + -3p = 0 4p = 0 Divide each side by '4'. p = 0 Simplifying p = 0
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