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Simplifying -5(p + 1) = -12 + 2p Reorder the terms: -5(1 + p) = -12 + 2p (1 * -5 + p * -5) = -12 + 2p (-5 + -5p) = -12 + 2p Solving -5 + -5p = -12 + 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. -5 + -5p + -2p = -12 + 2p + -2p Combine like terms: -5p + -2p = -7p -5 + -7p = -12 + 2p + -2p Combine like terms: 2p + -2p = 0 -5 + -7p = -12 + 0 -5 + -7p = -12 Add '5' to each side of the equation. -5 + 5 + -7p = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -7p = -12 + 5 -7p = -12 + 5 Combine like terms: -12 + 5 = -7 -7p = -7 Divide each side by '-7'. p = 1 Simplifying p = 1
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