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Simplifying -9 + 6p + -11p = 2(5p + -8) + 8(4p + -5) Combine like terms: 6p + -11p = -5p -9 + -5p = 2(5p + -8) + 8(4p + -5) Reorder the terms: -9 + -5p = 2(-8 + 5p) + 8(4p + -5) -9 + -5p = (-8 * 2 + 5p * 2) + 8(4p + -5) -9 + -5p = (-16 + 10p) + 8(4p + -5) Reorder the terms: -9 + -5p = -16 + 10p + 8(-5 + 4p) -9 + -5p = -16 + 10p + (-5 * 8 + 4p * 8) -9 + -5p = -16 + 10p + (-40 + 32p) Reorder the terms: -9 + -5p = -16 + -40 + 10p + 32p Combine like terms: -16 + -40 = -56 -9 + -5p = -56 + 10p + 32p Combine like terms: 10p + 32p = 42p -9 + -5p = -56 + 42p Solving -9 + -5p = -56 + 42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42p' to each side of the equation. -9 + -5p + -42p = -56 + 42p + -42p Combine like terms: -5p + -42p = -47p -9 + -47p = -56 + 42p + -42p Combine like terms: 42p + -42p = 0 -9 + -47p = -56 + 0 -9 + -47p = -56 Add '9' to each side of the equation. -9 + 9 + -47p = -56 + 9 Combine like terms: -9 + 9 = 0 0 + -47p = -56 + 9 -47p = -56 + 9 Combine like terms: -56 + 9 = -47 -47p = -47 Divide each side by '-47'. p = 1 Simplifying p = 1
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