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Simplifying 0.33(p + 21) = 0.6(p + -9) Reorder the terms: 0.33(21 + p) = 0.6(p + -9) (21 * 0.33 + p * 0.33) = 0.6(p + -9) (6.93 + 0.33p) = 0.6(p + -9) Reorder the terms: 6.93 + 0.33p = 0.6(-9 + p) 6.93 + 0.33p = (-9 * 0.6 + p * 0.6) 6.93 + 0.33p = (-5.4 + 0.6p) Solving 6.93 + 0.33p = -5.4 + 0.6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.6p' to each side of the equation. 6.93 + 0.33p + -0.6p = -5.4 + 0.6p + -0.6p Combine like terms: 0.33p + -0.6p = -0.27p 6.93 + -0.27p = -5.4 + 0.6p + -0.6p Combine like terms: 0.6p + -0.6p = 0.0 6.93 + -0.27p = -5.4 + 0.0 6.93 + -0.27p = -5.4 Add '-6.93' to each side of the equation. 6.93 + -6.93 + -0.27p = -5.4 + -6.93 Combine like terms: 6.93 + -6.93 = 0.00 0.00 + -0.27p = -5.4 + -6.93 -0.27p = -5.4 + -6.93 Combine like terms: -5.4 + -6.93 = -12.33 -0.27p = -12.33 Divide each side by '-0.27'. p = 45.66666667 Simplifying p = 45.66666667
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