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Simplifying -12p + -6(5 + -3p) = 2(p + -2) + -2 -12p + (5 * -6 + -3p * -6) = 2(p + -2) + -2 -12p + (-30 + 18p) = 2(p + -2) + -2 Reorder the terms: -30 + -12p + 18p = 2(p + -2) + -2 Combine like terms: -12p + 18p = 6p -30 + 6p = 2(p + -2) + -2 Reorder the terms: -30 + 6p = 2(-2 + p) + -2 -30 + 6p = (-2 * 2 + p * 2) + -2 -30 + 6p = (-4 + 2p) + -2 Reorder the terms: -30 + 6p = -4 + -2 + 2p Combine like terms: -4 + -2 = -6 -30 + 6p = -6 + 2p Solving -30 + 6p = -6 + 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. -30 + 6p + -2p = -6 + 2p + -2p Combine like terms: 6p + -2p = 4p -30 + 4p = -6 + 2p + -2p Combine like terms: 2p + -2p = 0 -30 + 4p = -6 + 0 -30 + 4p = -6 Add '30' to each side of the equation. -30 + 30 + 4p = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 4p = -6 + 30 4p = -6 + 30 Combine like terms: -6 + 30 = 24 4p = 24 Divide each side by '4'. p = 6 Simplifying p = 6
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