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Simplifying 10 + -5p = 8(-1 + -1p) + -3 10 + -5p = (-1 * 8 + -1p * 8) + -3 10 + -5p = (-8 + -8p) + -3 Reorder the terms: 10 + -5p = -8 + -3 + -8p Combine like terms: -8 + -3 = -11 10 + -5p = -11 + -8p Solving 10 + -5p = -11 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 10 + -5p + 8p = -11 + -8p + 8p Combine like terms: -5p + 8p = 3p 10 + 3p = -11 + -8p + 8p Combine like terms: -8p + 8p = 0 10 + 3p = -11 + 0 10 + 3p = -11 Add '-10' to each side of the equation. 10 + -10 + 3p = -11 + -10 Combine like terms: 10 + -10 = 0 0 + 3p = -11 + -10 3p = -11 + -10 Combine like terms: -11 + -10 = -21 3p = -21 Divide each side by '3'. p = -7 Simplifying p = -7
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