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Simplifying -28p + -6(3 + -6p) = 5(p + -5) + -2 -28p + (3 * -6 + -6p * -6) = 5(p + -5) + -2 -28p + (-18 + 36p) = 5(p + -5) + -2 Reorder the terms: -18 + -28p + 36p = 5(p + -5) + -2 Combine like terms: -28p + 36p = 8p -18 + 8p = 5(p + -5) + -2 Reorder the terms: -18 + 8p = 5(-5 + p) + -2 -18 + 8p = (-5 * 5 + p * 5) + -2 -18 + 8p = (-25 + 5p) + -2 Reorder the terms: -18 + 8p = -25 + -2 + 5p Combine like terms: -25 + -2 = -27 -18 + 8p = -27 + 5p Solving -18 + 8p = -27 + 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. -18 + 8p + -5p = -27 + 5p + -5p Combine like terms: 8p + -5p = 3p -18 + 3p = -27 + 5p + -5p Combine like terms: 5p + -5p = 0 -18 + 3p = -27 + 0 -18 + 3p = -27 Add '18' to each side of the equation. -18 + 18 + 3p = -27 + 18 Combine like terms: -18 + 18 = 0 0 + 3p = -27 + 18 3p = -27 + 18 Combine like terms: -27 + 18 = -9 3p = -9 Divide each side by '3'. p = -3 Simplifying p = -3
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