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Simplifying (5 + -3p) + -1(-4p + 6) = (18p + 11) + -1(3p + -6) Remove parenthesis around (5 + -3p) 5 + -3p + -1(-4p + 6) = (18p + 11) + -1(3p + -6) Reorder the terms: 5 + -3p + -1(6 + -4p) = (18p + 11) + -1(3p + -6) 5 + -3p + (6 * -1 + -4p * -1) = (18p + 11) + -1(3p + -6) 5 + -3p + (-6 + 4p) = (18p + 11) + -1(3p + -6) Reorder the terms: 5 + -6 + -3p + 4p = (18p + 11) + -1(3p + -6) Combine like terms: 5 + -6 = -1 -1 + -3p + 4p = (18p + 11) + -1(3p + -6) Combine like terms: -3p + 4p = 1p -1 + 1p = (18p + 11) + -1(3p + -6) Reorder the terms: -1 + 1p = (11 + 18p) + -1(3p + -6) Remove parenthesis around (11 + 18p) -1 + 1p = 11 + 18p + -1(3p + -6) Reorder the terms: -1 + 1p = 11 + 18p + -1(-6 + 3p) -1 + 1p = 11 + 18p + (-6 * -1 + 3p * -1) -1 + 1p = 11 + 18p + (6 + -3p) Reorder the terms: -1 + 1p = 11 + 6 + 18p + -3p Combine like terms: 11 + 6 = 17 -1 + 1p = 17 + 18p + -3p Combine like terms: 18p + -3p = 15p -1 + 1p = 17 + 15p Solving -1 + 1p = 17 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -1 + 1p + -15p = 17 + 15p + -15p Combine like terms: 1p + -15p = -14p -1 + -14p = 17 + 15p + -15p Combine like terms: 15p + -15p = 0 -1 + -14p = 17 + 0 -1 + -14p = 17 Add '1' to each side of the equation. -1 + 1 + -14p = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -14p = 17 + 1 -14p = 17 + 1 Combine like terms: 17 + 1 = 18 -14p = 18 Divide each side by '-14'. p = -1.285714286 Simplifying p = -1.285714286
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