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Simplifying 0p + 10(1 + -1p) = -5p + 0(1 + -1p) Anything times zero is zero. 0p + 10(1 + -1p) = -5p + 0(1 + -1p) 0 + (1 * 10 + -1p * 10) = -5p + 0(1 + -1p) 0 + (10 + -10p) = -5p + 0(1 + -1p) Combine like terms: 0 + 10 = 10 10 + -10p = -5p + 0(1 + -1p) Anything times zero is zero. 10 + -10p = -5p + 0(1 + -1p) Reorder the terms: 10 + -10p = 0 + -5p Remove the zero: 10 + -10p = -5p Solving 10 + -10p = -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 10 + -10p + 5p = -5p + 5p Combine like terms: -10p + 5p = -5p 10 + -5p = -5p + 5p Combine like terms: -5p + 5p = 0 10 + -5p = 0 Add '-10' to each side of the equation. 10 + -10 + -5p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5p = 0 + -10 -5p = 0 + -10 Combine like terms: 0 + -10 = -10 -5p = -10 Divide each side by '-5'. p = 2 Simplifying p = 2
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