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Simplifying -13p + -6(4 + -3p) = 2(p + -5) + -2 -13p + (4 * -6 + -3p * -6) = 2(p + -5) + -2 -13p + (-24 + 18p) = 2(p + -5) + -2 Reorder the terms: -24 + -13p + 18p = 2(p + -5) + -2 Combine like terms: -13p + 18p = 5p -24 + 5p = 2(p + -5) + -2 Reorder the terms: -24 + 5p = 2(-5 + p) + -2 -24 + 5p = (-5 * 2 + p * 2) + -2 -24 + 5p = (-10 + 2p) + -2 Reorder the terms: -24 + 5p = -10 + -2 + 2p Combine like terms: -10 + -2 = -12 -24 + 5p = -12 + 2p Solving -24 + 5p = -12 + 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. -24 + 5p + -2p = -12 + 2p + -2p Combine like terms: 5p + -2p = 3p -24 + 3p = -12 + 2p + -2p Combine like terms: 2p + -2p = 0 -24 + 3p = -12 + 0 -24 + 3p = -12 Add '24' to each side of the equation. -24 + 24 + 3p = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 3p = -12 + 24 3p = -12 + 24 Combine like terms: -12 + 24 = 12 3p = 12 Divide each side by '3'. p = 4 Simplifying p = 4
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