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Simplifying -4(3 + 2p) + 6 = -5p + -24 (3 * -4 + 2p * -4) + 6 = -5p + -24 (-12 + -8p) + 6 = -5p + -24 Reorder the terms: -12 + 6 + -8p = -5p + -24 Combine like terms: -12 + 6 = -6 -6 + -8p = -5p + -24 Reorder the terms: -6 + -8p = -24 + -5p Solving -6 + -8p = -24 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -6 + -8p + 5p = -24 + -5p + 5p Combine like terms: -8p + 5p = -3p -6 + -3p = -24 + -5p + 5p Combine like terms: -5p + 5p = 0 -6 + -3p = -24 + 0 -6 + -3p = -24 Add '6' to each side of the equation. -6 + 6 + -3p = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -3p = -24 + 6 -3p = -24 + 6 Combine like terms: -24 + 6 = -18 -3p = -18 Divide each side by '-3'. p = 6 Simplifying p = 6
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