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Simplifying -3p + -3(2 + -4p) = 6(p + -5) + -15 -3p + (2 * -3 + -4p * -3) = 6(p + -5) + -15 -3p + (-6 + 12p) = 6(p + -5) + -15 Reorder the terms: -6 + -3p + 12p = 6(p + -5) + -15 Combine like terms: -3p + 12p = 9p -6 + 9p = 6(p + -5) + -15 Reorder the terms: -6 + 9p = 6(-5 + p) + -15 -6 + 9p = (-5 * 6 + p * 6) + -15 -6 + 9p = (-30 + 6p) + -15 Reorder the terms: -6 + 9p = -30 + -15 + 6p Combine like terms: -30 + -15 = -45 -6 + 9p = -45 + 6p Solving -6 + 9p = -45 + 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. -6 + 9p + -6p = -45 + 6p + -6p Combine like terms: 9p + -6p = 3p -6 + 3p = -45 + 6p + -6p Combine like terms: 6p + -6p = 0 -6 + 3p = -45 + 0 -6 + 3p = -45 Add '6' to each side of the equation. -6 + 6 + 3p = -45 + 6 Combine like terms: -6 + 6 = 0 0 + 3p = -45 + 6 3p = -45 + 6 Combine like terms: -45 + 6 = -39 3p = -39 Divide each side by '3'. p = -13 Simplifying p = -13
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