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Simplifying -0.25p + -0.06(6 + -5p) = 0.03(p + -3) + -0.03 -0.25p + (6 * -0.06 + -5p * -0.06) = 0.03(p + -3) + -0.03 -0.25p + (-0.36 + 0.3p) = 0.03(p + -3) + -0.03 Reorder the terms: -0.36 + -0.25p + 0.3p = 0.03(p + -3) + -0.03 Combine like terms: -0.25p + 0.3p = 0.05p -0.36 + 0.05p = 0.03(p + -3) + -0.03 Reorder the terms: -0.36 + 0.05p = 0.03(-3 + p) + -0.03 -0.36 + 0.05p = (-3 * 0.03 + p * 0.03) + -0.03 -0.36 + 0.05p = (-0.09 + 0.03p) + -0.03 Reorder the terms: -0.36 + 0.05p = -0.09 + -0.03 + 0.03p Combine like terms: -0.09 + -0.03 = -0.12 -0.36 + 0.05p = -0.12 + 0.03p Solving -0.36 + 0.05p = -0.12 + 0.03p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.03p' to each side of the equation. -0.36 + 0.05p + -0.03p = -0.12 + 0.03p + -0.03p Combine like terms: 0.05p + -0.03p = 0.02p -0.36 + 0.02p = -0.12 + 0.03p + -0.03p Combine like terms: 0.03p + -0.03p = 0.00 -0.36 + 0.02p = -0.12 + 0.00 -0.36 + 0.02p = -0.12 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.02p = -0.12 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.02p = -0.12 + 0.36 0.02p = -0.12 + 0.36 Combine like terms: -0.12 + 0.36 = 0.24 0.02p = 0.24 Divide each side by '0.02'. p = 12 Simplifying p = 12
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