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Simplifying 8(p + -5) = 16(p + -10) Reorder the terms: 8(-5 + p) = 16(p + -10) (-5 * 8 + p * 8) = 16(p + -10) (-40 + 8p) = 16(p + -10) Reorder the terms: -40 + 8p = 16(-10 + p) -40 + 8p = (-10 * 16 + p * 16) -40 + 8p = (-160 + 16p) Solving -40 + 8p = -160 + 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. -40 + 8p + -16p = -160 + 16p + -16p Combine like terms: 8p + -16p = -8p -40 + -8p = -160 + 16p + -16p Combine like terms: 16p + -16p = 0 -40 + -8p = -160 + 0 -40 + -8p = -160 Add '40' to each side of the equation. -40 + 40 + -8p = -160 + 40 Combine like terms: -40 + 40 = 0 0 + -8p = -160 + 40 -8p = -160 + 40 Combine like terms: -160 + 40 = -120 -8p = -120 Divide each side by '-8'. p = 15 Simplifying p = 15
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