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Simplifying 1 + -1(2p + 5) = 4(p + -7) + -3 Reorder the terms: 1 + -1(5 + 2p) = 4(p + -7) + -3 1 + (5 * -1 + 2p * -1) = 4(p + -7) + -3 1 + (-5 + -2p) = 4(p + -7) + -3 Combine like terms: 1 + -5 = -4 -4 + -2p = 4(p + -7) + -3 Reorder the terms: -4 + -2p = 4(-7 + p) + -3 -4 + -2p = (-7 * 4 + p * 4) + -3 -4 + -2p = (-28 + 4p) + -3 Reorder the terms: -4 + -2p = -28 + -3 + 4p Combine like terms: -28 + -3 = -31 -4 + -2p = -31 + 4p Solving -4 + -2p = -31 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -4 + -2p + -4p = -31 + 4p + -4p Combine like terms: -2p + -4p = -6p -4 + -6p = -31 + 4p + -4p Combine like terms: 4p + -4p = 0 -4 + -6p = -31 + 0 -4 + -6p = -31 Add '4' to each side of the equation. -4 + 4 + -6p = -31 + 4 Combine like terms: -4 + 4 = 0 0 + -6p = -31 + 4 -6p = -31 + 4 Combine like terms: -31 + 4 = -27 -6p = -27 Divide each side by '-6'. p = 4.5 Simplifying p = 4.5
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