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Simplifying -5p + -2(-6p) = 2(p + -5) + -14 Remove parenthesis around (-6p) -5p + -2 * -6p = 2(p + -5) + -14 Multiply -2 * -6 -5p + 12p = 2(p + -5) + -14 Combine like terms: -5p + 12p = 7p 7p = 2(p + -5) + -14 Reorder the terms: 7p = 2(-5 + p) + -14 7p = (-5 * 2 + p * 2) + -14 7p = (-10 + 2p) + -14 Reorder the terms: 7p = -10 + -14 + 2p Combine like terms: -10 + -14 = -24 7p = -24 + 2p Solving 7p = -24 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 7p + -2p = -24 + 2p + -2p Combine like terms: 7p + -2p = 5p 5p = -24 + 2p + -2p Combine like terms: 2p + -2p = 0 5p = -24 + 0 5p = -24 Divide each side by '5'. p = -4.8 Simplifying p = -4.8
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