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Simplifying -23p + -6(3 + -5p) = 2(p + -4) + -10 -23p + (3 * -6 + -5p * -6) = 2(p + -4) + -10 -23p + (-18 + 30p) = 2(p + -4) + -10 Reorder the terms: -18 + -23p + 30p = 2(p + -4) + -10 Combine like terms: -23p + 30p = 7p -18 + 7p = 2(p + -4) + -10 Reorder the terms: -18 + 7p = 2(-4 + p) + -10 -18 + 7p = (-4 * 2 + p * 2) + -10 -18 + 7p = (-8 + 2p) + -10 Reorder the terms: -18 + 7p = -8 + -10 + 2p Combine like terms: -8 + -10 = -18 -18 + 7p = -18 + 2p Add '18' to each side of the equation. -18 + 18 + 7p = -18 + 18 + 2p Combine like terms: -18 + 18 = 0 0 + 7p = -18 + 18 + 2p 7p = -18 + 18 + 2p Combine like terms: -18 + 18 = 0 7p = 0 + 2p 7p = 2p Solving 7p = 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. 7p + -2p = 2p + -2p Combine like terms: 7p + -2p = 5p 5p = 2p + -2p Combine like terms: 2p + -2p = 0 5p = 0 Divide each side by '5'. p = 0 Simplifying p = 0
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