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Simplifying -10p + 14p + -12 = 6p + 16 Reorder the terms: -12 + -10p + 14p = 6p + 16 Combine like terms: -10p + 14p = 4p -12 + 4p = 6p + 16 Reorder the terms: -12 + 4p = 16 + 6p Solving -12 + 4p = 16 + 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 + 4p + -6p = 16 + 6p + -6p Combine like terms: 4p + -6p = -2p -12 + -2p = 16 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + -2p = 16 + 0 -12 + -2p = 16 Add '12' to each side of the equation. -12 + 12 + -2p = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -2p = 16 + 12 -2p = 16 + 12 Combine like terms: 16 + 12 = 28 -2p = 28 Divide each side by '-2'. p = -14 Simplifying p = -14
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