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Simplifying -7p + -2(6 + -6p) = 2(p + -6) + -27 -7p + (6 * -2 + -6p * -2) = 2(p + -6) + -27 -7p + (-12 + 12p) = 2(p + -6) + -27 Reorder the terms: -12 + -7p + 12p = 2(p + -6) + -27 Combine like terms: -7p + 12p = 5p -12 + 5p = 2(p + -6) + -27 Reorder the terms: -12 + 5p = 2(-6 + p) + -27 -12 + 5p = (-6 * 2 + p * 2) + -27 -12 + 5p = (-12 + 2p) + -27 Reorder the terms: -12 + 5p = -12 + -27 + 2p Combine like terms: -12 + -27 = -39 -12 + 5p = -39 + 2p Solving -12 + 5p = -39 + 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. -12 + 5p + -2p = -39 + 2p + -2p Combine like terms: 5p + -2p = 3p -12 + 3p = -39 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + 3p = -39 + 0 -12 + 3p = -39 Add '12' to each side of the equation. -12 + 12 + 3p = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -39 + 12 3p = -39 + 12 Combine like terms: -39 + 12 = -27 3p = -27 Divide each side by '3'. p = -9 Simplifying p = -9
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