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Simplifying 4p + -2(2 + -3p) = 6(p + -6) + -36 4p + (2 * -2 + -3p * -2) = 6(p + -6) + -36 4p + (-4 + 6p) = 6(p + -6) + -36 Reorder the terms: -4 + 4p + 6p = 6(p + -6) + -36 Combine like terms: 4p + 6p = 10p -4 + 10p = 6(p + -6) + -36 Reorder the terms: -4 + 10p = 6(-6 + p) + -36 -4 + 10p = (-6 * 6 + p * 6) + -36 -4 + 10p = (-36 + 6p) + -36 Reorder the terms: -4 + 10p = -36 + -36 + 6p Combine like terms: -36 + -36 = -72 -4 + 10p = -72 + 6p Solving -4 + 10p = -72 + 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. -4 + 10p + -6p = -72 + 6p + -6p Combine like terms: 10p + -6p = 4p -4 + 4p = -72 + 6p + -6p Combine like terms: 6p + -6p = 0 -4 + 4p = -72 + 0 -4 + 4p = -72 Add '4' to each side of the equation. -4 + 4 + 4p = -72 + 4 Combine like terms: -4 + 4 = 0 0 + 4p = -72 + 4 4p = -72 + 4 Combine like terms: -72 + 4 = -68 4p = -68 Divide each side by '4'. p = -17 Simplifying p = -17
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