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Simplifying 5(4 + -1p) = -3p + 6 (4 * 5 + -1p * 5) = -3p + 6 (20 + -5p) = -3p + 6 Reorder the terms: 20 + -5p = 6 + -3p Solving 20 + -5p = 6 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 20 + -5p + 3p = 6 + -3p + 3p Combine like terms: -5p + 3p = -2p 20 + -2p = 6 + -3p + 3p Combine like terms: -3p + 3p = 0 20 + -2p = 6 + 0 20 + -2p = 6 Add '-20' to each side of the equation. 20 + -20 + -2p = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -2p = 6 + -20 -2p = 6 + -20 Combine like terms: 6 + -20 = -14 -2p = -14 Divide each side by '-2'. p = 7 Simplifying p = 7
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