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Simplifying -12 + 2p = 5(6p + -8) Reorder the terms: -12 + 2p = 5(-8 + 6p) -12 + 2p = (-8 * 5 + 6p * 5) -12 + 2p = (-40 + 30p) Solving -12 + 2p = -40 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. -12 + 2p + -30p = -40 + 30p + -30p Combine like terms: 2p + -30p = -28p -12 + -28p = -40 + 30p + -30p Combine like terms: 30p + -30p = 0 -12 + -28p = -40 + 0 -12 + -28p = -40 Add '12' to each side of the equation. -12 + 12 + -28p = -40 + 12 Combine like terms: -12 + 12 = 0 0 + -28p = -40 + 12 -28p = -40 + 12 Combine like terms: -40 + 12 = -28 -28p = -28 Divide each side by '-28'. p = 1 Simplifying p = 1
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