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Simplifying p + -1(p + 32) = 8(p + -4) + 5p Reorder the terms: p + -1(32 + p) = 8(p + -4) + 5p p + (32 * -1 + p * -1) = 8(p + -4) + 5p p + (-32 + -1p) = 8(p + -4) + 5p Reorder the terms: -32 + p + -1p = 8(p + -4) + 5p Combine like terms: p + -1p = 0 -32 + 0 = 8(p + -4) + 5p -32 = 8(p + -4) + 5p Reorder the terms: -32 = 8(-4 + p) + 5p -32 = (-4 * 8 + p * 8) + 5p -32 = (-32 + 8p) + 5p Combine like terms: 8p + 5p = 13p -32 = -32 + 13p Add '32' to each side of the equation. -32 + 32 = -32 + 32 + 13p Combine like terms: -32 + 32 = 0 0 = -32 + 32 + 13p Combine like terms: -32 + 32 = 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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