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Simplifying -9p + -6(6 + -3p) = 6(p + -4) + -9 -9p + (6 * -6 + -3p * -6) = 6(p + -4) + -9 -9p + (-36 + 18p) = 6(p + -4) + -9 Reorder the terms: -36 + -9p + 18p = 6(p + -4) + -9 Combine like terms: -9p + 18p = 9p -36 + 9p = 6(p + -4) + -9 Reorder the terms: -36 + 9p = 6(-4 + p) + -9 -36 + 9p = (-4 * 6 + p * 6) + -9 -36 + 9p = (-24 + 6p) + -9 Reorder the terms: -36 + 9p = -24 + -9 + 6p Combine like terms: -24 + -9 = -33 -36 + 9p = -33 + 6p Solving -36 + 9p = -33 + 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. -36 + 9p + -6p = -33 + 6p + -6p Combine like terms: 9p + -6p = 3p -36 + 3p = -33 + 6p + -6p Combine like terms: 6p + -6p = 0 -36 + 3p = -33 + 0 -36 + 3p = -33 Add '36' to each side of the equation. -36 + 36 + 3p = -33 + 36 Combine like terms: -36 + 36 = 0 0 + 3p = -33 + 36 3p = -33 + 36 Combine like terms: -33 + 36 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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