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Simplifying -23p + -6(6 + -5p) = 2(p + -4) + -43 -23p + (6 * -6 + -5p * -6) = 2(p + -4) + -43 -23p + (-36 + 30p) = 2(p + -4) + -43 Reorder the terms: -36 + -23p + 30p = 2(p + -4) + -43 Combine like terms: -23p + 30p = 7p -36 + 7p = 2(p + -4) + -43 Reorder the terms: -36 + 7p = 2(-4 + p) + -43 -36 + 7p = (-4 * 2 + p * 2) + -43 -36 + 7p = (-8 + 2p) + -43 Reorder the terms: -36 + 7p = -8 + -43 + 2p Combine like terms: -8 + -43 = -51 -36 + 7p = -51 + 2p Solving -36 + 7p = -51 + 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. -36 + 7p + -2p = -51 + 2p + -2p Combine like terms: 7p + -2p = 5p -36 + 5p = -51 + 2p + -2p Combine like terms: 2p + -2p = 0 -36 + 5p = -51 + 0 -36 + 5p = -51 Add '36' to each side of the equation. -36 + 36 + 5p = -51 + 36 Combine like terms: -36 + 36 = 0 0 + 5p = -51 + 36 5p = -51 + 36 Combine like terms: -51 + 36 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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