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Simplifying -2p + -2(3 + -6p) = 6(p + -6) + -6 -2p + (3 * -2 + -6p * -2) = 6(p + -6) + -6 -2p + (-6 + 12p) = 6(p + -6) + -6 Reorder the terms: -6 + -2p + 12p = 6(p + -6) + -6 Combine like terms: -2p + 12p = 10p -6 + 10p = 6(p + -6) + -6 Reorder the terms: -6 + 10p = 6(-6 + p) + -6 -6 + 10p = (-6 * 6 + p * 6) + -6 -6 + 10p = (-36 + 6p) + -6 Reorder the terms: -6 + 10p = -36 + -6 + 6p Combine like terms: -36 + -6 = -42 -6 + 10p = -42 + 6p Solving -6 + 10p = -42 + 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. -6 + 10p + -6p = -42 + 6p + -6p Combine like terms: 10p + -6p = 4p -6 + 4p = -42 + 6p + -6p Combine like terms: 6p + -6p = 0 -6 + 4p = -42 + 0 -6 + 4p = -42 Add '6' to each side of the equation. -6 + 6 + 4p = -42 + 6 Combine like terms: -6 + 6 = 0 0 + 4p = -42 + 6 4p = -42 + 6 Combine like terms: -42 + 6 = -36 4p = -36 Divide each side by '4'. p = -9 Simplifying p = -9
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