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Simplifying -6(p + 2) = 2p + -1(-20) Reorder the terms: -6(2 + p) = 2p + -1(-20) (2 * -6 + p * -6) = 2p + -1(-20) (-12 + -6p) = 2p + -1(-20) Multiply -1 * -20 -12 + -6p = 2p + 20 Reorder the terms: -12 + -6p = 20 + 2p Solving -12 + -6p = 20 + 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 + -6p + -2p = 20 + 2p + -2p Combine like terms: -6p + -2p = -8p -12 + -8p = 20 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + -8p = 20 + 0 -12 + -8p = 20 Add '12' to each side of the equation. -12 + 12 + -8p = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -8p = 20 + 12 -8p = 20 + 12 Combine like terms: 20 + 12 = 32 -8p = 32 Divide each side by '-8'. p = -4 Simplifying p = -4
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