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Simplifying -24 + -5p = -6(p + 4) + 7p Reorder the terms: -24 + -5p = -6(4 + p) + 7p -24 + -5p = (4 * -6 + p * -6) + 7p -24 + -5p = (-24 + -6p) + 7p Combine like terms: -6p + 7p = 1p -24 + -5p = -24 + 1p Add '24' to each side of the equation. -24 + 24 + -5p = -24 + 24 + 1p Combine like terms: -24 + 24 = 0 0 + -5p = -24 + 24 + 1p -5p = -24 + 24 + 1p Combine like terms: -24 + 24 = 0 -5p = 0 + 1p -5p = 1p Solving -5p = 1p 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. -5p + -1p = 1p + -1p Combine like terms: -5p + -1p = -6p -6p = 1p + -1p Combine like terms: 1p + -1p = 0 -6p = 0 Divide each side by '-6'. p = 0 Simplifying p = 0
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