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Simplifying -0.03p + -0.02(2 + -6p) = 0.05(p + -3) + -0.25 -0.03p + (2 * -0.02 + -6p * -0.02) = 0.05(p + -3) + -0.25 -0.03p + (-0.04 + 0.12p) = 0.05(p + -3) + -0.25 Reorder the terms: -0.04 + -0.03p + 0.12p = 0.05(p + -3) + -0.25 Combine like terms: -0.03p + 0.12p = 0.09p -0.04 + 0.09p = 0.05(p + -3) + -0.25 Reorder the terms: -0.04 + 0.09p = 0.05(-3 + p) + -0.25 -0.04 + 0.09p = (-3 * 0.05 + p * 0.05) + -0.25 -0.04 + 0.09p = (-0.15 + 0.05p) + -0.25 Reorder the terms: -0.04 + 0.09p = -0.15 + -0.25 + 0.05p Combine like terms: -0.15 + -0.25 = -0.4 -0.04 + 0.09p = -0.4 + 0.05p Solving -0.04 + 0.09p = -0.4 + 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. -0.04 + 0.09p + -0.05p = -0.4 + 0.05p + -0.05p Combine like terms: 0.09p + -0.05p = 0.04p -0.04 + 0.04p = -0.4 + 0.05p + -0.05p Combine like terms: 0.05p + -0.05p = 0.00 -0.04 + 0.04p = -0.4 + 0.00 -0.04 + 0.04p = -0.4 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.04p = -0.4 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.04p = -0.4 + 0.04 0.04p = -0.4 + 0.04 Combine like terms: -0.4 + 0.04 = -0.36 0.04p = -0.36 Divide each side by '0.04'. p = -9 Simplifying p = -9
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