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Simplifying -0.05p + -0.03(3 + -5p) = 0.05(p + -3) + -0.19 -0.05p + (3 * -0.03 + -5p * -0.03) = 0.05(p + -3) + -0.19 -0.05p + (-0.09 + 0.15p) = 0.05(p + -3) + -0.19 Reorder the terms: -0.09 + -0.05p + 0.15p = 0.05(p + -3) + -0.19 Combine like terms: -0.05p + 0.15p = 0.1p -0.09 + 0.1p = 0.05(p + -3) + -0.19 Reorder the terms: -0.09 + 0.1p = 0.05(-3 + p) + -0.19 -0.09 + 0.1p = (-3 * 0.05 + p * 0.05) + -0.19 -0.09 + 0.1p = (-0.15 + 0.05p) + -0.19 Reorder the terms: -0.09 + 0.1p = -0.15 + -0.19 + 0.05p Combine like terms: -0.15 + -0.19 = -0.34 -0.09 + 0.1p = -0.34 + 0.05p Solving -0.09 + 0.1p = -0.34 + 0.05p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.05p' to each side of the equation. -0.09 + 0.1p + -0.05p = -0.34 + 0.05p + -0.05p Combine like terms: 0.1p + -0.05p = 0.05p -0.09 + 0.05p = -0.34 + 0.05p + -0.05p Combine like terms: 0.05p + -0.05p = 0.00 -0.09 + 0.05p = -0.34 + 0.00 -0.09 + 0.05p = -0.34 Add '0.09' to each side of the equation. -0.09 + 0.09 + 0.05p = -0.34 + 0.09 Combine like terms: -0.09 + 0.09 = 0.00 0.00 + 0.05p = -0.34 + 0.09 0.05p = -0.34 + 0.09 Combine like terms: -0.34 + 0.09 = -0.25 0.05p = -0.25 Divide each side by '0.05'. p = -5 Simplifying p = -5
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