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Simplifying 6(2p + 2) = -5(-3p + 8) + 4 Reorder the terms: 6(2 + 2p) = -5(-3p + 8) + 4 (2 * 6 + 2p * 6) = -5(-3p + 8) + 4 (12 + 12p) = -5(-3p + 8) + 4 Reorder the terms: 12 + 12p = -5(8 + -3p) + 4 12 + 12p = (8 * -5 + -3p * -5) + 4 12 + 12p = (-40 + 15p) + 4 Reorder the terms: 12 + 12p = -40 + 4 + 15p Combine like terms: -40 + 4 = -36 12 + 12p = -36 + 15p Solving 12 + 12p = -36 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 12 + 12p + -15p = -36 + 15p + -15p Combine like terms: 12p + -15p = -3p 12 + -3p = -36 + 15p + -15p Combine like terms: 15p + -15p = 0 12 + -3p = -36 + 0 12 + -3p = -36 Add '-12' to each side of the equation. 12 + -12 + -3p = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -3p = -36 + -12 -3p = -36 + -12 Combine like terms: -36 + -12 = -48 -3p = -48 Divide each side by '-3'. p = 16 Simplifying p = 16
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