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Simplifying -9p + -6(5 + -3p) = 6(p + -4) + -3 -9p + (5 * -6 + -3p * -6) = 6(p + -4) + -3 -9p + (-30 + 18p) = 6(p + -4) + -3 Reorder the terms: -30 + -9p + 18p = 6(p + -4) + -3 Combine like terms: -9p + 18p = 9p -30 + 9p = 6(p + -4) + -3 Reorder the terms: -30 + 9p = 6(-4 + p) + -3 -30 + 9p = (-4 * 6 + p * 6) + -3 -30 + 9p = (-24 + 6p) + -3 Reorder the terms: -30 + 9p = -24 + -3 + 6p Combine like terms: -24 + -3 = -27 -30 + 9p = -27 + 6p Solving -30 + 9p = -27 + 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. -30 + 9p + -6p = -27 + 6p + -6p Combine like terms: 9p + -6p = 3p -30 + 3p = -27 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + 3p = -27 + 0 -30 + 3p = -27 Add '30' to each side of the equation. -30 + 30 + 3p = -27 + 30 Combine like terms: -30 + 30 = 0 0 + 3p = -27 + 30 3p = -27 + 30 Combine like terms: -27 + 30 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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