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Simplifying 8(p + -5) + 7(p + -1) = 16p Reorder the terms: 8(-5 + p) + 7(p + -1) = 16p (-5 * 8 + p * 8) + 7(p + -1) = 16p (-40 + 8p) + 7(p + -1) = 16p Reorder the terms: -40 + 8p + 7(-1 + p) = 16p -40 + 8p + (-1 * 7 + p * 7) = 16p -40 + 8p + (-7 + 7p) = 16p Reorder the terms: -40 + -7 + 8p + 7p = 16p Combine like terms: -40 + -7 = -47 -47 + 8p + 7p = 16p Combine like terms: 8p + 7p = 15p -47 + 15p = 16p Solving -47 + 15p = 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -47 + 15p + -16p = 16p + -16p Combine like terms: 15p + -16p = -1p -47 + -1p = 16p + -16p Combine like terms: 16p + -16p = 0 -47 + -1p = 0 Add '47' to each side of the equation. -47 + 47 + -1p = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -1p = 0 + 47 -1p = 0 + 47 Combine like terms: 0 + 47 = 47 -1p = 47 Divide each side by '-1'. p = -47 Simplifying p = -47
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