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Simplifying 10 + -4(p + 7) = 2(1 + p) Reorder the terms: 10 + -4(7 + p) = 2(1 + p) 10 + (7 * -4 + p * -4) = 2(1 + p) 10 + (-28 + -4p) = 2(1 + p) Combine like terms: 10 + -28 = -18 -18 + -4p = 2(1 + p) -18 + -4p = (1 * 2 + p * 2) -18 + -4p = (2 + 2p) Solving -18 + -4p = 2 + 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. -18 + -4p + -2p = 2 + 2p + -2p Combine like terms: -4p + -2p = -6p -18 + -6p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 -18 + -6p = 2 + 0 -18 + -6p = 2 Add '18' to each side of the equation. -18 + 18 + -6p = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -6p = 2 + 18 -6p = 2 + 18 Combine like terms: 2 + 18 = 20 -6p = 20 Divide each side by '-6'. p = -3.333333333 Simplifying p = -3.333333333
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