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Simplifying p + 10 = -7(5p + -2) + -4(-3 + -8p) Reorder the terms: 10 + p = -7(5p + -2) + -4(-3 + -8p) Reorder the terms: 10 + p = -7(-2 + 5p) + -4(-3 + -8p) 10 + p = (-2 * -7 + 5p * -7) + -4(-3 + -8p) 10 + p = (14 + -35p) + -4(-3 + -8p) 10 + p = 14 + -35p + (-3 * -4 + -8p * -4) 10 + p = 14 + -35p + (12 + 32p) Reorder the terms: 10 + p = 14 + 12 + -35p + 32p Combine like terms: 14 + 12 = 26 10 + p = 26 + -35p + 32p Combine like terms: -35p + 32p = -3p 10 + p = 26 + -3p Solving 10 + p = 26 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 10 + p + 3p = 26 + -3p + 3p Combine like terms: p + 3p = 4p 10 + 4p = 26 + -3p + 3p Combine like terms: -3p + 3p = 0 10 + 4p = 26 + 0 10 + 4p = 26 Add '-10' to each side of the equation. 10 + -10 + 4p = 26 + -10 Combine like terms: 10 + -10 = 0 0 + 4p = 26 + -10 4p = 26 + -10 Combine like terms: 26 + -10 = 16 4p = 16 Divide each side by '4'. p = 4 Simplifying p = 4
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