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Simplifying -5p + -5(3 + -2p) = 2(p + -5) + -23 -5p + (3 * -5 + -2p * -5) = 2(p + -5) + -23 -5p + (-15 + 10p) = 2(p + -5) + -23 Reorder the terms: -15 + -5p + 10p = 2(p + -5) + -23 Combine like terms: -5p + 10p = 5p -15 + 5p = 2(p + -5) + -23 Reorder the terms: -15 + 5p = 2(-5 + p) + -23 -15 + 5p = (-5 * 2 + p * 2) + -23 -15 + 5p = (-10 + 2p) + -23 Reorder the terms: -15 + 5p = -10 + -23 + 2p Combine like terms: -10 + -23 = -33 -15 + 5p = -33 + 2p Solving -15 + 5p = -33 + 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. -15 + 5p + -2p = -33 + 2p + -2p Combine like terms: 5p + -2p = 3p -15 + 3p = -33 + 2p + -2p Combine like terms: 2p + -2p = 0 -15 + 3p = -33 + 0 -15 + 3p = -33 Add '15' to each side of the equation. -15 + 15 + 3p = -33 + 15 Combine like terms: -15 + 15 = 0 0 + 3p = -33 + 15 3p = -33 + 15 Combine like terms: -33 + 15 = -18 3p = -18 Divide each side by '3'. p = -6 Simplifying p = -6
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