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Simplifying -18p + -4(4 + -6p) = 4(p + -6) + -10 -18p + (4 * -4 + -6p * -4) = 4(p + -6) + -10 -18p + (-16 + 24p) = 4(p + -6) + -10 Reorder the terms: -16 + -18p + 24p = 4(p + -6) + -10 Combine like terms: -18p + 24p = 6p -16 + 6p = 4(p + -6) + -10 Reorder the terms: -16 + 6p = 4(-6 + p) + -10 -16 + 6p = (-6 * 4 + p * 4) + -10 -16 + 6p = (-24 + 4p) + -10 Reorder the terms: -16 + 6p = -24 + -10 + 4p Combine like terms: -24 + -10 = -34 -16 + 6p = -34 + 4p Solving -16 + 6p = -34 + 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. -16 + 6p + -4p = -34 + 4p + -4p Combine like terms: 6p + -4p = 2p -16 + 2p = -34 + 4p + -4p Combine like terms: 4p + -4p = 0 -16 + 2p = -34 + 0 -16 + 2p = -34 Add '16' to each side of the equation. -16 + 16 + 2p = -34 + 16 Combine like terms: -16 + 16 = 0 0 + 2p = -34 + 16 2p = -34 + 16 Combine like terms: -34 + 16 = -18 2p = -18 Divide each side by '2'. p = -9 Simplifying p = -9
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