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Simplifying 2(-2p + -6) + -8p = 24 + 6p Reorder the terms: 2(-6 + -2p) + -8p = 24 + 6p (-6 * 2 + -2p * 2) + -8p = 24 + 6p (-12 + -4p) + -8p = 24 + 6p Combine like terms: -4p + -8p = -12p -12 + -12p = 24 + 6p Solving -12 + -12p = 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 + -12p + -6p = 24 + 6p + -6p Combine like terms: -12p + -6p = -18p -12 + -18p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + -18p = 24 + 0 -12 + -18p = 24 Add '12' to each side of the equation. -12 + 12 + -18p = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -18p = 24 + 12 -18p = 24 + 12 Combine like terms: 24 + 12 = 36 -18p = 36 Divide each side by '-18'. p = -2 Simplifying p = -2
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