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Simplifying 5p + 48 = -8 + -7(-12p + -8) Reorder the terms: 48 + 5p = -8 + -7(-12p + -8) Reorder the terms: 48 + 5p = -8 + -7(-8 + -12p) 48 + 5p = -8 + (-8 * -7 + -12p * -7) 48 + 5p = -8 + (56 + 84p) Combine like terms: -8 + 56 = 48 48 + 5p = 48 + 84p Add '-48' to each side of the equation. 48 + -48 + 5p = 48 + -48 + 84p Combine like terms: 48 + -48 = 0 0 + 5p = 48 + -48 + 84p 5p = 48 + -48 + 84p Combine like terms: 48 + -48 = 0 5p = 0 + 84p 5p = 84p Solving 5p = 84p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-84p' to each side of the equation. 5p + -84p = 84p + -84p Combine like terms: 5p + -84p = -79p -79p = 84p + -84p Combine like terms: 84p + -84p = 0 -79p = 0 Divide each side by '-79'. p = 0 Simplifying p = 0
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