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Simplifying 13.04(0.9p + -12.7) = 2.1(-8.6p + 13.2) Reorder the terms: 13.04(-12.7 + 0.9p) = 2.1(-8.6p + 13.2) (-12.7 * 13.04 + 0.9p * 13.04) = 2.1(-8.6p + 13.2) (-165.608 + 11.736p) = 2.1(-8.6p + 13.2) Reorder the terms: -165.608 + 11.736p = 2.1(13.2 + -8.6p) -165.608 + 11.736p = (13.2 * 2.1 + -8.6p * 2.1) -165.608 + 11.736p = (27.72 + -18.06p) Solving -165.608 + 11.736p = 27.72 + -18.06p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18.06p' to each side of the equation. -165.608 + 11.736p + 18.06p = 27.72 + -18.06p + 18.06p Combine like terms: 11.736p + 18.06p = 29.796p -165.608 + 29.796p = 27.72 + -18.06p + 18.06p Combine like terms: -18.06p + 18.06p = 0.00 -165.608 + 29.796p = 27.72 + 0.00 -165.608 + 29.796p = 27.72 Add '165.608' to each side of the equation. -165.608 + 165.608 + 29.796p = 27.72 + 165.608 Combine like terms: -165.608 + 165.608 = 0.000 0.000 + 29.796p = 27.72 + 165.608 29.796p = 27.72 + 165.608 Combine like terms: 27.72 + 165.608 = 193.328 29.796p = 193.328 Divide each side by '29.796'. p = 6.488387703 Simplifying p = 6.488387703
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