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Simplifying -7(p + 1) + 3 = -18 + -5p Reorder the terms: -7(1 + p) + 3 = -18 + -5p (1 * -7 + p * -7) + 3 = -18 + -5p (-7 + -7p) + 3 = -18 + -5p Reorder the terms: -7 + 3 + -7p = -18 + -5p Combine like terms: -7 + 3 = -4 -4 + -7p = -18 + -5p Solving -4 + -7p = -18 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -4 + -7p + 5p = -18 + -5p + 5p Combine like terms: -7p + 5p = -2p -4 + -2p = -18 + -5p + 5p Combine like terms: -5p + 5p = 0 -4 + -2p = -18 + 0 -4 + -2p = -18 Add '4' to each side of the equation. -4 + 4 + -2p = -18 + 4 Combine like terms: -4 + 4 = 0 0 + -2p = -18 + 4 -2p = -18 + 4 Combine like terms: -18 + 4 = -14 -2p = -14 Divide each side by '-2'. p = 7 Simplifying p = 7
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