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Simplifying 3p + -1 = 5(p + -1) + -2(7 + -1p) Reorder the terms: -1 + 3p = 5(p + -1) + -2(7 + -1p) Reorder the terms: -1 + 3p = 5(-1 + p) + -2(7 + -1p) -1 + 3p = (-1 * 5 + p * 5) + -2(7 + -1p) -1 + 3p = (-5 + 5p) + -2(7 + -1p) -1 + 3p = -5 + 5p + (7 * -2 + -1p * -2) -1 + 3p = -5 + 5p + (-14 + 2p) Reorder the terms: -1 + 3p = -5 + -14 + 5p + 2p Combine like terms: -5 + -14 = -19 -1 + 3p = -19 + 5p + 2p Combine like terms: 5p + 2p = 7p -1 + 3p = -19 + 7p Solving -1 + 3p = -19 + 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. -1 + 3p + -7p = -19 + 7p + -7p Combine like terms: 3p + -7p = -4p -1 + -4p = -19 + 7p + -7p Combine like terms: 7p + -7p = 0 -1 + -4p = -19 + 0 -1 + -4p = -19 Add '1' to each side of the equation. -1 + 1 + -4p = -19 + 1 Combine like terms: -1 + 1 = 0 0 + -4p = -19 + 1 -4p = -19 + 1 Combine like terms: -19 + 1 = -18 -4p = -18 Divide each side by '-4'. p = 4.5 Simplifying p = 4.5
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