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Simplifying -0.13p + -0.06(5 + -3p) = 0.03(p + -5) + -0.01 -0.13p + (5 * -0.06 + -3p * -0.06) = 0.03(p + -5) + -0.01 -0.13p + (-0.3 + 0.18p) = 0.03(p + -5) + -0.01 Reorder the terms: -0.3 + -0.13p + 0.18p = 0.03(p + -5) + -0.01 Combine like terms: -0.13p + 0.18p = 0.05p -0.3 + 0.05p = 0.03(p + -5) + -0.01 Reorder the terms: -0.3 + 0.05p = 0.03(-5 + p) + -0.01 -0.3 + 0.05p = (-5 * 0.03 + p * 0.03) + -0.01 -0.3 + 0.05p = (-0.15 + 0.03p) + -0.01 Reorder the terms: -0.3 + 0.05p = -0.15 + -0.01 + 0.03p Combine like terms: -0.15 + -0.01 = -0.16 -0.3 + 0.05p = -0.16 + 0.03p Solving -0.3 + 0.05p = -0.16 + 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. -0.3 + 0.05p + -0.03p = -0.16 + 0.03p + -0.03p Combine like terms: 0.05p + -0.03p = 0.02p -0.3 + 0.02p = -0.16 + 0.03p + -0.03p Combine like terms: 0.03p + -0.03p = 0.00 -0.3 + 0.02p = -0.16 + 0.00 -0.3 + 0.02p = -0.16 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.02p = -0.16 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.02p = -0.16 + 0.3 0.02p = -0.16 + 0.3 Combine like terms: -0.16 + 0.3 = 0.14 0.02p = 0.14 Divide each side by '0.02'. p = 7 Simplifying p = 7
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