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Simplifying -5p + -2(3 + -5p) = 3(p + -2) + -6 -5p + (3 * -2 + -5p * -2) = 3(p + -2) + -6 -5p + (-6 + 10p) = 3(p + -2) + -6 Reorder the terms: -6 + -5p + 10p = 3(p + -2) + -6 Combine like terms: -5p + 10p = 5p -6 + 5p = 3(p + -2) + -6 Reorder the terms: -6 + 5p = 3(-2 + p) + -6 -6 + 5p = (-2 * 3 + p * 3) + -6 -6 + 5p = (-6 + 3p) + -6 Reorder the terms: -6 + 5p = -6 + -6 + 3p Combine like terms: -6 + -6 = -12 -6 + 5p = -12 + 3p Solving -6 + 5p = -12 + 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. -6 + 5p + -3p = -12 + 3p + -3p Combine like terms: 5p + -3p = 2p -6 + 2p = -12 + 3p + -3p Combine like terms: 3p + -3p = 0 -6 + 2p = -12 + 0 -6 + 2p = -12 Add '6' to each side of the equation. -6 + 6 + 2p = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 2p = -12 + 6 2p = -12 + 6 Combine like terms: -12 + 6 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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