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Simplifying 8(4p + -5) + -7p = 20p + -10 Reorder the terms: 8(-5 + 4p) + -7p = 20p + -10 (-5 * 8 + 4p * 8) + -7p = 20p + -10 (-40 + 32p) + -7p = 20p + -10 Combine like terms: 32p + -7p = 25p -40 + 25p = 20p + -10 Reorder the terms: -40 + 25p = -10 + 20p Solving -40 + 25p = -10 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -40 + 25p + -20p = -10 + 20p + -20p Combine like terms: 25p + -20p = 5p -40 + 5p = -10 + 20p + -20p Combine like terms: 20p + -20p = 0 -40 + 5p = -10 + 0 -40 + 5p = -10 Add '40' to each side of the equation. -40 + 40 + 5p = -10 + 40 Combine like terms: -40 + 40 = 0 0 + 5p = -10 + 40 5p = -10 + 40 Combine like terms: -10 + 40 = 30 5p = 30 Divide each side by '5'. p = 6 Simplifying p = 6
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