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Simplifying -5p + -12 = p + 15 Reorder the terms: -12 + -5p = p + 15 Reorder the terms: -12 + -5p = 15 + p Solving -12 + -5p = 15 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -12 + -5p + -1p = 15 + p + -1p Combine like terms: -5p + -1p = -6p -12 + -6p = 15 + p + -1p Combine like terms: p + -1p = 0 -12 + -6p = 15 + 0 -12 + -6p = 15 Add '12' to each side of the equation. -12 + 12 + -6p = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -6p = 15 + 12 -6p = 15 + 12 Combine like terms: 15 + 12 = 27 -6p = 27 Divide each side by '-6'. p = -4.5 Simplifying p = -4.5
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