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Simplifying -2p + 4(p + -6) = -5p + 18 Reorder the terms: -2p + 4(-6 + p) = -5p + 18 -2p + (-6 * 4 + p * 4) = -5p + 18 -2p + (-24 + 4p) = -5p + 18 Reorder the terms: -24 + -2p + 4p = -5p + 18 Combine like terms: -2p + 4p = 2p -24 + 2p = -5p + 18 Reorder the terms: -24 + 2p = 18 + -5p Solving -24 + 2p = 18 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -24 + 2p + 5p = 18 + -5p + 5p Combine like terms: 2p + 5p = 7p -24 + 7p = 18 + -5p + 5p Combine like terms: -5p + 5p = 0 -24 + 7p = 18 + 0 -24 + 7p = 18 Add '24' to each side of the equation. -24 + 24 + 7p = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 7p = 18 + 24 7p = 18 + 24 Combine like terms: 18 + 24 = 42 7p = 42 Divide each side by '7'. p = 6 Simplifying p = 6
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