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Simplifying -3p + -2(5 + -6p) = 5(p + -3) + -27 -3p + (5 * -2 + -6p * -2) = 5(p + -3) + -27 -3p + (-10 + 12p) = 5(p + -3) + -27 Reorder the terms: -10 + -3p + 12p = 5(p + -3) + -27 Combine like terms: -3p + 12p = 9p -10 + 9p = 5(p + -3) + -27 Reorder the terms: -10 + 9p = 5(-3 + p) + -27 -10 + 9p = (-3 * 5 + p * 5) + -27 -10 + 9p = (-15 + 5p) + -27 Reorder the terms: -10 + 9p = -15 + -27 + 5p Combine like terms: -15 + -27 = -42 -10 + 9p = -42 + 5p Solving -10 + 9p = -42 + 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. -10 + 9p + -5p = -42 + 5p + -5p Combine like terms: 9p + -5p = 4p -10 + 4p = -42 + 5p + -5p Combine like terms: 5p + -5p = 0 -10 + 4p = -42 + 0 -10 + 4p = -42 Add '10' to each side of the equation. -10 + 10 + 4p = -42 + 10 Combine like terms: -10 + 10 = 0 0 + 4p = -42 + 10 4p = -42 + 10 Combine like terms: -42 + 10 = -32 4p = -32 Divide each side by '4'. p = -8 Simplifying p = -8
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