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Simplifying -21p + -6(2 + -5p) = 5(p + -2) + -18 -21p + (2 * -6 + -5p * -6) = 5(p + -2) + -18 -21p + (-12 + 30p) = 5(p + -2) + -18 Reorder the terms: -12 + -21p + 30p = 5(p + -2) + -18 Combine like terms: -21p + 30p = 9p -12 + 9p = 5(p + -2) + -18 Reorder the terms: -12 + 9p = 5(-2 + p) + -18 -12 + 9p = (-2 * 5 + p * 5) + -18 -12 + 9p = (-10 + 5p) + -18 Reorder the terms: -12 + 9p = -10 + -18 + 5p Combine like terms: -10 + -18 = -28 -12 + 9p = -28 + 5p Solving -12 + 9p = -28 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + 9p + -5p = -28 + 5p + -5p Combine like terms: 9p + -5p = 4p -12 + 4p = -28 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 4p = -28 + 0 -12 + 4p = -28 Add '12' to each side of the equation. -12 + 12 + 4p = -28 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -28 + 12 4p = -28 + 12 Combine like terms: -28 + 12 = -16 4p = -16 Divide each side by '4'. p = -4 Simplifying p = -4
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