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Simplifying 3p + -4(3p + 8) = -6p + -23 Reorder the terms: 3p + -4(8 + 3p) = -6p + -23 3p + (8 * -4 + 3p * -4) = -6p + -23 3p + (-32 + -12p) = -6p + -23 Reorder the terms: -32 + 3p + -12p = -6p + -23 Combine like terms: 3p + -12p = -9p -32 + -9p = -6p + -23 Reorder the terms: -32 + -9p = -23 + -6p Solving -32 + -9p = -23 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -32 + -9p + 6p = -23 + -6p + 6p Combine like terms: -9p + 6p = -3p -32 + -3p = -23 + -6p + 6p Combine like terms: -6p + 6p = 0 -32 + -3p = -23 + 0 -32 + -3p = -23 Add '32' to each side of the equation. -32 + 32 + -3p = -23 + 32 Combine like terms: -32 + 32 = 0 0 + -3p = -23 + 32 -3p = -23 + 32 Combine like terms: -23 + 32 = 9 -3p = 9 Divide each side by '-3'. p = -3 Simplifying p = -3
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