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