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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 = -96 -96 + -6p + -6p = -4p + 4 Combine like terms: -6p + -6p = -12p -96 + -12p = -4p + 4 Reorder the terms: -96 + -12p = 4 + -4p Solving -96 + -12p = 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. -96 + -12p + 4p = 4 + -4p + 4p Combine like terms: -12p + 4p = -8p -96 + -8p = 4 + -4p + 4p Combine like terms: -4p + 4p = 0 -96 + -8p = 4 + 0 -96 + -8p = 4 Add '96' to each side of the equation. -96 + 96 + -8p = 4 + 96 Combine like terms: -96 + 96 = 0 0 + -8p = 4 + 96 -8p = 4 + 96 Combine like terms: 4 + 96 = 100 -8p = 100 Divide each side by '-8'. p = -12.5 Simplifying p = -12.5
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