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Simplifying -0.11p + -0.05(6 + -3p) = 0.02(p + -5) + -0.02 -0.11p + (6 * -0.05 + -3p * -0.05) = 0.02(p + -5) + -0.02 -0.11p + (-0.3 + 0.15p) = 0.02(p + -5) + -0.02 Reorder the terms: -0.3 + -0.11p + 0.15p = 0.02(p + -5) + -0.02 Combine like terms: -0.11p + 0.15p = 0.04p -0.3 + 0.04p = 0.02(p + -5) + -0.02 Reorder the terms: -0.3 + 0.04p = 0.02(-5 + p) + -0.02 -0.3 + 0.04p = (-5 * 0.02 + p * 0.02) + -0.02 -0.3 + 0.04p = (-0.1 + 0.02p) + -0.02 Reorder the terms: -0.3 + 0.04p = -0.1 + -0.02 + 0.02p Combine like terms: -0.1 + -0.02 = -0.12 -0.3 + 0.04p = -0.12 + 0.02p Solving -0.3 + 0.04p = -0.12 + 0.02p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.02p' to each side of the equation. -0.3 + 0.04p + -0.02p = -0.12 + 0.02p + -0.02p Combine like terms: 0.04p + -0.02p = 0.02p -0.3 + 0.02p = -0.12 + 0.02p + -0.02p Combine like terms: 0.02p + -0.02p = 0.00 -0.3 + 0.02p = -0.12 + 0.00 -0.3 + 0.02p = -0.12 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.02p = -0.12 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.02p = -0.12 + 0.3 0.02p = -0.12 + 0.3 Combine like terms: -0.12 + 0.3 = 0.18 0.02p = 0.18 Divide each side by '0.02'. p = 9 Simplifying p = 9
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