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Simplifying 11.3p + -1 = 5(p + -1) + -2(7 + -2p) Reorder the terms: -1 + 11.3p = 5(p + -1) + -2(7 + -2p) Reorder the terms: -1 + 11.3p = 5(-1 + p) + -2(7 + -2p) -1 + 11.3p = (-1 * 5 + p * 5) + -2(7 + -2p) -1 + 11.3p = (-5 + 5p) + -2(7 + -2p) -1 + 11.3p = -5 + 5p + (7 * -2 + -2p * -2) -1 + 11.3p = -5 + 5p + (-14 + 4p) Reorder the terms: -1 + 11.3p = -5 + -14 + 5p + 4p Combine like terms: -5 + -14 = -19 -1 + 11.3p = -19 + 5p + 4p Combine like terms: 5p + 4p = 9p -1 + 11.3p = -19 + 9p Solving -1 + 11.3p = -19 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -1 + 11.3p + -9p = -19 + 9p + -9p Combine like terms: 11.3p + -9p = 2.3p -1 + 2.3p = -19 + 9p + -9p Combine like terms: 9p + -9p = 0 -1 + 2.3p = -19 + 0 -1 + 2.3p = -19 Add '1' to each side of the equation. -1 + 1 + 2.3p = -19 + 1 Combine like terms: -1 + 1 = 0 0 + 2.3p = -19 + 1 2.3p = -19 + 1 Combine like terms: -19 + 1 = -18 2.3p = -18 Divide each side by '2.3'. p = -7.826086957 Simplifying p = -7.826086957
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