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Simplifying 2p + -3 = 4(p + 1) + -3(7 + p) Reorder the terms: -3 + 2p = 4(p + 1) + -3(7 + p) Reorder the terms: -3 + 2p = 4(1 + p) + -3(7 + p) -3 + 2p = (1 * 4 + p * 4) + -3(7 + p) -3 + 2p = (4 + 4p) + -3(7 + p) -3 + 2p = 4 + 4p + (7 * -3 + p * -3) -3 + 2p = 4 + 4p + (-21 + -3p) Reorder the terms: -3 + 2p = 4 + -21 + 4p + -3p Combine like terms: 4 + -21 = -17 -3 + 2p = -17 + 4p + -3p Combine like terms: 4p + -3p = 1p -3 + 2p = -17 + 1p Solving -3 + 2p = -17 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -3 + 2p + -1p = -17 + 1p + -1p Combine like terms: 2p + -1p = 1p -3 + 1p = -17 + 1p + -1p Combine like terms: 1p + -1p = 0 -3 + 1p = -17 + 0 -3 + 1p = -17 Add '3' to each side of the equation. -3 + 3 + 1p = -17 + 3 Combine like terms: -3 + 3 = 0 0 + 1p = -17 + 3 1p = -17 + 3 Combine like terms: -17 + 3 = -14 1p = -14 Divide each side by '1'. p = -14 Simplifying p = -14
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