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Simplifying -7p + -3(6 + -5p) = 6(p + -6) + -6 -7p + (6 * -3 + -5p * -3) = 6(p + -6) + -6 -7p + (-18 + 15p) = 6(p + -6) + -6 Reorder the terms: -18 + -7p + 15p = 6(p + -6) + -6 Combine like terms: -7p + 15p = 8p -18 + 8p = 6(p + -6) + -6 Reorder the terms: -18 + 8p = 6(-6 + p) + -6 -18 + 8p = (-6 * 6 + p * 6) + -6 -18 + 8p = (-36 + 6p) + -6 Reorder the terms: -18 + 8p = -36 + -6 + 6p Combine like terms: -36 + -6 = -42 -18 + 8p = -42 + 6p Solving -18 + 8p = -42 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -18 + 8p + -6p = -42 + 6p + -6p Combine like terms: 8p + -6p = 2p -18 + 2p = -42 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + 2p = -42 + 0 -18 + 2p = -42 Add '18' to each side of the equation. -18 + 18 + 2p = -42 + 18 Combine like terms: -18 + 18 = 0 0 + 2p = -42 + 18 2p = -42 + 18 Combine like terms: -42 + 18 = -24 2p = -24 Divide each side by '2'. p = -12 Simplifying p = -12
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