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Simplifying p + -1(p + 16) = 8(p + -2) + 5p Reorder the terms: p + -1(16 + p) = 8(p + -2) + 5p p + (16 * -1 + p * -1) = 8(p + -2) + 5p p + (-16 + -1p) = 8(p + -2) + 5p Reorder the terms: -16 + p + -1p = 8(p + -2) + 5p Combine like terms: p + -1p = 0 -16 + 0 = 8(p + -2) + 5p -16 = 8(p + -2) + 5p Reorder the terms: -16 = 8(-2 + p) + 5p -16 = (-2 * 8 + p * 8) + 5p -16 = (-16 + 8p) + 5p Combine like terms: 8p + 5p = 13p -16 = -16 + 13p Add '16' to each side of the equation. -16 + 16 = -16 + 16 + 13p Combine like terms: -16 + 16 = 0 0 = -16 + 16 + 13p Combine like terms: -16 + 16 = 0 0 = 0 + 13p 0 = 13p Solving 0 = 13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13p' to each side of the equation. 0 + -13p = 13p + -13p Remove the zero: -13p = 13p + -13p Combine like terms: 13p + -13p = 0 -13p = 0 Divide each side by '-13'. p = 0 Simplifying p = 0
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