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Simplifying -19.758 + 5.1p = 3.2(3.1p + -0.3) Reorder the terms: -19.758 + 5.1p = 3.2(-0.3 + 3.1p) -19.758 + 5.1p = (-0.3 * 3.2 + 3.1p * 3.2) -19.758 + 5.1p = (-0.96 + 9.92p) Solving -19.758 + 5.1p = -0.96 + 9.92p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9.92p' to each side of the equation. -19.758 + 5.1p + -9.92p = -0.96 + 9.92p + -9.92p Combine like terms: 5.1p + -9.92p = -4.82p -19.758 + -4.82p = -0.96 + 9.92p + -9.92p Combine like terms: 9.92p + -9.92p = 0.00 -19.758 + -4.82p = -0.96 + 0.00 -19.758 + -4.82p = -0.96 Add '19.758' to each side of the equation. -19.758 + 19.758 + -4.82p = -0.96 + 19.758 Combine like terms: -19.758 + 19.758 = 0.000 0.000 + -4.82p = -0.96 + 19.758 -4.82p = -0.96 + 19.758 Combine like terms: -0.96 + 19.758 = 18.798 -4.82p = 18.798 Divide each side by '-4.82'. p = -3.9 Simplifying p = -3.9
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