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Simplifying -9p + -3(6 + -6p) = 6(p + -2) + -28 -9p + (6 * -3 + -6p * -3) = 6(p + -2) + -28 -9p + (-18 + 18p) = 6(p + -2) + -28 Reorder the terms: -18 + -9p + 18p = 6(p + -2) + -28 Combine like terms: -9p + 18p = 9p -18 + 9p = 6(p + -2) + -28 Reorder the terms: -18 + 9p = 6(-2 + p) + -28 -18 + 9p = (-2 * 6 + p * 6) + -28 -18 + 9p = (-12 + 6p) + -28 Reorder the terms: -18 + 9p = -12 + -28 + 6p Combine like terms: -12 + -28 = -40 -18 + 9p = -40 + 6p Solving -18 + 9p = -40 + 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. -18 + 9p + -6p = -40 + 6p + -6p Combine like terms: 9p + -6p = 3p -18 + 3p = -40 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + 3p = -40 + 0 -18 + 3p = -40 Add '18' to each side of the equation. -18 + 18 + 3p = -40 + 18 Combine like terms: -18 + 18 = 0 0 + 3p = -40 + 18 3p = -40 + 18 Combine like terms: -40 + 18 = -22 3p = -22 Divide each side by '3'. p = -7.333333333 Simplifying p = -7.333333333
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