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Simplifying 5(-8 + -4p) = 12 + -7p (-8 * 5 + -4p * 5) = 12 + -7p (-40 + -20p) = 12 + -7p Solving -40 + -20p = 12 + -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. -40 + -20p + 7p = 12 + -7p + 7p Combine like terms: -20p + 7p = -13p -40 + -13p = 12 + -7p + 7p Combine like terms: -7p + 7p = 0 -40 + -13p = 12 + 0 -40 + -13p = 12 Add '40' to each side of the equation. -40 + 40 + -13p = 12 + 40 Combine like terms: -40 + 40 = 0 0 + -13p = 12 + 40 -13p = 12 + 40 Combine like terms: 12 + 40 = 52 -13p = 52 Divide each side by '-13'. p = -4 Simplifying p = -4
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