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Simplifying 3p + -1 = 5(p + -1) + -2(7 + -9p) Reorder the terms: -1 + 3p = 5(p + -1) + -2(7 + -9p) Reorder the terms: -1 + 3p = 5(-1 + p) + -2(7 + -9p) -1 + 3p = (-1 * 5 + p * 5) + -2(7 + -9p) -1 + 3p = (-5 + 5p) + -2(7 + -9p) -1 + 3p = -5 + 5p + (7 * -2 + -9p * -2) -1 + 3p = -5 + 5p + (-14 + 18p) Reorder the terms: -1 + 3p = -5 + -14 + 5p + 18p Combine like terms: -5 + -14 = -19 -1 + 3p = -19 + 5p + 18p Combine like terms: 5p + 18p = 23p -1 + 3p = -19 + 23p Solving -1 + 3p = -19 + 23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23p' to each side of the equation. -1 + 3p + -23p = -19 + 23p + -23p Combine like terms: 3p + -23p = -20p -1 + -20p = -19 + 23p + -23p Combine like terms: 23p + -23p = 0 -1 + -20p = -19 + 0 -1 + -20p = -19 Add '1' to each side of the equation. -1 + 1 + -20p = -19 + 1 Combine like terms: -1 + 1 = 0 0 + -20p = -19 + 1 -20p = -19 + 1 Combine like terms: -19 + 1 = -18 -20p = -18 Divide each side by '-20'. p = 0.9 Simplifying p = 0.9
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