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Simplifying -12p + -6(6 + -3p) = 2(p + -3) + -22 -12p + (6 * -6 + -3p * -6) = 2(p + -3) + -22 -12p + (-36 + 18p) = 2(p + -3) + -22 Reorder the terms: -36 + -12p + 18p = 2(p + -3) + -22 Combine like terms: -12p + 18p = 6p -36 + 6p = 2(p + -3) + -22 Reorder the terms: -36 + 6p = 2(-3 + p) + -22 -36 + 6p = (-3 * 2 + p * 2) + -22 -36 + 6p = (-6 + 2p) + -22 Reorder the terms: -36 + 6p = -6 + -22 + 2p Combine like terms: -6 + -22 = -28 -36 + 6p = -28 + 2p Solving -36 + 6p = -28 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -36 + 6p + -2p = -28 + 2p + -2p Combine like terms: 6p + -2p = 4p -36 + 4p = -28 + 2p + -2p Combine like terms: 2p + -2p = 0 -36 + 4p = -28 + 0 -36 + 4p = -28 Add '36' to each side of the equation. -36 + 36 + 4p = -28 + 36 Combine like terms: -36 + 36 = 0 0 + 4p = -28 + 36 4p = -28 + 36 Combine like terms: -28 + 36 = 8 4p = 8 Divide each side by '4'. p = 2 Simplifying p = 2
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