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Simplifying 4 + -2(5 + -1p) = -21 + 7p 4 + (5 * -2 + -1p * -2) = -21 + 7p 4 + (-10 + 2p) = -21 + 7p Combine like terms: 4 + -10 = -6 -6 + 2p = -21 + 7p Solving -6 + 2p = -21 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -6 + 2p + -7p = -21 + 7p + -7p Combine like terms: 2p + -7p = -5p -6 + -5p = -21 + 7p + -7p Combine like terms: 7p + -7p = 0 -6 + -5p = -21 + 0 -6 + -5p = -21 Add '6' to each side of the equation. -6 + 6 + -5p = -21 + 6 Combine like terms: -6 + 6 = 0 0 + -5p = -21 + 6 -5p = -21 + 6 Combine like terms: -21 + 6 = -15 -5p = -15 Divide each side by '-5'. p = 3 Simplifying p = 3
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