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Simplifying -3p + -4(3 + -3p) = 6(p + -5) + -24 -3p + (3 * -4 + -3p * -4) = 6(p + -5) + -24 -3p + (-12 + 12p) = 6(p + -5) + -24 Reorder the terms: -12 + -3p + 12p = 6(p + -5) + -24 Combine like terms: -3p + 12p = 9p -12 + 9p = 6(p + -5) + -24 Reorder the terms: -12 + 9p = 6(-5 + p) + -24 -12 + 9p = (-5 * 6 + p * 6) + -24 -12 + 9p = (-30 + 6p) + -24 Reorder the terms: -12 + 9p = -30 + -24 + 6p Combine like terms: -30 + -24 = -54 -12 + 9p = -54 + 6p Solving -12 + 9p = -54 + 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. -12 + 9p + -6p = -54 + 6p + -6p Combine like terms: 9p + -6p = 3p -12 + 3p = -54 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + 3p = -54 + 0 -12 + 3p = -54 Add '12' to each side of the equation. -12 + 12 + 3p = -54 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -54 + 12 3p = -54 + 12 Combine like terms: -54 + 12 = -42 3p = -42 Divide each side by '3'. p = -14 Simplifying p = -14
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