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Simplifying -18p + -6(5 + -4p) = 4(p + -3) + -12 -18p + (5 * -6 + -4p * -6) = 4(p + -3) + -12 -18p + (-30 + 24p) = 4(p + -3) + -12 Reorder the terms: -30 + -18p + 24p = 4(p + -3) + -12 Combine like terms: -18p + 24p = 6p -30 + 6p = 4(p + -3) + -12 Reorder the terms: -30 + 6p = 4(-3 + p) + -12 -30 + 6p = (-3 * 4 + p * 4) + -12 -30 + 6p = (-12 + 4p) + -12 Reorder the terms: -30 + 6p = -12 + -12 + 4p Combine like terms: -12 + -12 = -24 -30 + 6p = -24 + 4p Solving -30 + 6p = -24 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -30 + 6p + -4p = -24 + 4p + -4p Combine like terms: 6p + -4p = 2p -30 + 2p = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 -30 + 2p = -24 + 0 -30 + 2p = -24 Add '30' to each side of the equation. -30 + 30 + 2p = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = -24 + 30 2p = -24 + 30 Combine like terms: -24 + 30 = 6 2p = 6 Divide each side by '2'. p = 3 Simplifying p = 3
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