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Simplifying 6(p + 10) + -3(2p + 12) = -4p + 4 Reorder the terms: 6(10 + p) + -3(2p + 12) = -4p + 4 (10 * 6 + p * 6) + -3(2p + 12) = -4p + 4 (60 + 6p) + -3(2p + 12) = -4p + 4 Reorder the terms: 60 + 6p + -3(12 + 2p) = -4p + 4 60 + 6p + (12 * -3 + 2p * -3) = -4p + 4 60 + 6p + (-36 + -6p) = -4p + 4 Reorder the terms: 60 + -36 + 6p + -6p = -4p + 4 Combine like terms: 60 + -36 = 24 24 + 6p + -6p = -4p + 4 Combine like terms: 6p + -6p = 0 24 + 0 = -4p + 4 24 = -4p + 4 Reorder the terms: 24 = 4 + -4p Solving 24 = 4 + -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. 24 + 4p = 4 + -4p + 4p Combine like terms: -4p + 4p = 0 24 + 4p = 4 + 0 24 + 4p = 4 Add '-24' to each side of the equation. 24 + -24 + 4p = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 4p = 4 + -24 4p = 4 + -24 Combine like terms: 4 + -24 = -20 4p = -20 Divide each side by '4'. p = -5 Simplifying p = -5
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