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Simplifying 15p + 54 + -2(5p + -5) = 4 + 6(p + 10) Reorder the terms: 15p + 54 + -2(-5 + 5p) = 4 + 6(p + 10) 15p + 54 + (-5 * -2 + 5p * -2) = 4 + 6(p + 10) 15p + 54 + (10 + -10p) = 4 + 6(p + 10) Reorder the terms: 54 + 10 + 15p + -10p = 4 + 6(p + 10) Combine like terms: 54 + 10 = 64 64 + 15p + -10p = 4 + 6(p + 10) Combine like terms: 15p + -10p = 5p 64 + 5p = 4 + 6(p + 10) Reorder the terms: 64 + 5p = 4 + 6(10 + p) 64 + 5p = 4 + (10 * 6 + p * 6) 64 + 5p = 4 + (60 + 6p) Combine like terms: 4 + 60 = 64 64 + 5p = 64 + 6p Add '-64' to each side of the equation. 64 + -64 + 5p = 64 + -64 + 6p Combine like terms: 64 + -64 = 0 0 + 5p = 64 + -64 + 6p 5p = 64 + -64 + 6p Combine like terms: 64 + -64 = 0 5p = 0 + 6p 5p = 6p Solving 5p = 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. 5p + -6p = 6p + -6p Combine like terms: 5p + -6p = -1p -1p = 6p + -6p Combine like terms: 6p + -6p = 0 -1p = 0 Divide each side by '-1'. p = 0 Simplifying p = 0
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