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Simplifying -0.07p + -0.03(5 + -6p) = 0.06(p + -3) + -0.22 -0.07p + (5 * -0.03 + -6p * -0.03) = 0.06(p + -3) + -0.22 -0.07p + (-0.15 + 0.18p) = 0.06(p + -3) + -0.22 Reorder the terms: -0.15 + -0.07p + 0.18p = 0.06(p + -3) + -0.22 Combine like terms: -0.07p + 0.18p = 0.11p -0.15 + 0.11p = 0.06(p + -3) + -0.22 Reorder the terms: -0.15 + 0.11p = 0.06(-3 + p) + -0.22 -0.15 + 0.11p = (-3 * 0.06 + p * 0.06) + -0.22 -0.15 + 0.11p = (-0.18 + 0.06p) + -0.22 Reorder the terms: -0.15 + 0.11p = -0.18 + -0.22 + 0.06p Combine like terms: -0.18 + -0.22 = -0.4 -0.15 + 0.11p = -0.4 + 0.06p Solving -0.15 + 0.11p = -0.4 + 0.06p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.06p' to each side of the equation. -0.15 + 0.11p + -0.06p = -0.4 + 0.06p + -0.06p Combine like terms: 0.11p + -0.06p = 0.05p -0.15 + 0.05p = -0.4 + 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 -0.15 + 0.05p = -0.4 + 0.00 -0.15 + 0.05p = -0.4 Add '0.15' to each side of the equation. -0.15 + 0.15 + 0.05p = -0.4 + 0.15 Combine like terms: -0.15 + 0.15 = 0.00 0.00 + 0.05p = -0.4 + 0.15 0.05p = -0.4 + 0.15 Combine like terms: -0.4 + 0.15 = -0.25 0.05p = -0.25 Divide each side by '0.05'. p = -5 Simplifying p = -5
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