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Simplifying -4(4 + 3p) = -4(p + 10) (4 * -4 + 3p * -4) = -4(p + 10) (-16 + -12p) = -4(p + 10) Reorder the terms: -16 + -12p = -4(10 + p) -16 + -12p = (10 * -4 + p * -4) -16 + -12p = (-40 + -4p) Solving -16 + -12p = -40 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -16 + -12p + 4p = -40 + -4p + 4p Combine like terms: -12p + 4p = -8p -16 + -8p = -40 + -4p + 4p Combine like terms: -4p + 4p = 0 -16 + -8p = -40 + 0 -16 + -8p = -40 Add '16' to each side of the equation. -16 + 16 + -8p = -40 + 16 Combine like terms: -16 + 16 = 0 0 + -8p = -40 + 16 -8p = -40 + 16 Combine like terms: -40 + 16 = -24 -8p = -24 Divide each side by '-8'. p = 3 Simplifying p = 3
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