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Simplifying 5(4 + -2p) = 7p + 3(-2 + -10p) (4 * 5 + -2p * 5) = 7p + 3(-2 + -10p) (20 + -10p) = 7p + 3(-2 + -10p) 20 + -10p = 7p + (-2 * 3 + -10p * 3) 20 + -10p = 7p + (-6 + -30p) Reorder the terms: 20 + -10p = -6 + 7p + -30p Combine like terms: 7p + -30p = -23p 20 + -10p = -6 + -23p Solving 20 + -10p = -6 + -23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23p' to each side of the equation. 20 + -10p + 23p = -6 + -23p + 23p Combine like terms: -10p + 23p = 13p 20 + 13p = -6 + -23p + 23p Combine like terms: -23p + 23p = 0 20 + 13p = -6 + 0 20 + 13p = -6 Add '-20' to each side of the equation. 20 + -20 + 13p = -6 + -20 Combine like terms: 20 + -20 = 0 0 + 13p = -6 + -20 13p = -6 + -20 Combine like terms: -6 + -20 = -26 13p = -26 Divide each side by '13'. p = -2 Simplifying p = -2
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