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Simplifying -9p + 10 = (8p + -6) + -5(8 + 3p) Reorder the terms: 10 + -9p = (8p + -6) + -5(8 + 3p) Reorder the terms: 10 + -9p = (-6 + 8p) + -5(8 + 3p) Remove parenthesis around (-6 + 8p) 10 + -9p = -6 + 8p + -5(8 + 3p) 10 + -9p = -6 + 8p + (8 * -5 + 3p * -5) 10 + -9p = -6 + 8p + (-40 + -15p) Reorder the terms: 10 + -9p = -6 + -40 + 8p + -15p Combine like terms: -6 + -40 = -46 10 + -9p = -46 + 8p + -15p Combine like terms: 8p + -15p = -7p 10 + -9p = -46 + -7p Solving 10 + -9p = -46 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 10 + -9p + 7p = -46 + -7p + 7p Combine like terms: -9p + 7p = -2p 10 + -2p = -46 + -7p + 7p Combine like terms: -7p + 7p = 0 10 + -2p = -46 + 0 10 + -2p = -46 Add '-10' to each side of the equation. 10 + -10 + -2p = -46 + -10 Combine like terms: 10 + -10 = 0 0 + -2p = -46 + -10 -2p = -46 + -10 Combine like terms: -46 + -10 = -56 -2p = -56 Divide each side by '-2'. p = 28 Simplifying p = 28
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