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Simplifying -7p + -3(4 + -5p) = 6(p + -3) + -6 -7p + (4 * -3 + -5p * -3) = 6(p + -3) + -6 -7p + (-12 + 15p) = 6(p + -3) + -6 Reorder the terms: -12 + -7p + 15p = 6(p + -3) + -6 Combine like terms: -7p + 15p = 8p -12 + 8p = 6(p + -3) + -6 Reorder the terms: -12 + 8p = 6(-3 + p) + -6 -12 + 8p = (-3 * 6 + p * 6) + -6 -12 + 8p = (-18 + 6p) + -6 Reorder the terms: -12 + 8p = -18 + -6 + 6p Combine like terms: -18 + -6 = -24 -12 + 8p = -24 + 6p Solving -12 + 8p = -24 + 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. -12 + 8p + -6p = -24 + 6p + -6p Combine like terms: 8p + -6p = 2p -12 + 2p = -24 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + 2p = -24 + 0 -12 + 2p = -24 Add '12' to each side of the equation. -12 + 12 + 2p = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 2p = -24 + 12 2p = -24 + 12 Combine like terms: -24 + 12 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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