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Simplifying -0.1p + -0.03(3 + -6p) = 0.05(p + -4) + -0.28 -0.1p + (3 * -0.03 + -6p * -0.03) = 0.05(p + -4) + -0.28 -0.1p + (-0.09 + 0.18p) = 0.05(p + -4) + -0.28 Reorder the terms: -0.09 + -0.1p + 0.18p = 0.05(p + -4) + -0.28 Combine like terms: -0.1p + 0.18p = 0.08p -0.09 + 0.08p = 0.05(p + -4) + -0.28 Reorder the terms: -0.09 + 0.08p = 0.05(-4 + p) + -0.28 -0.09 + 0.08p = (-4 * 0.05 + p * 0.05) + -0.28 -0.09 + 0.08p = (-0.2 + 0.05p) + -0.28 Reorder the terms: -0.09 + 0.08p = -0.2 + -0.28 + 0.05p Combine like terms: -0.2 + -0.28 = -0.48 -0.09 + 0.08p = -0.48 + 0.05p Solving -0.09 + 0.08p = -0.48 + 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 + 0.08p + -0.05p = -0.48 + 0.05p + -0.05p Combine like terms: 0.08p + -0.05p = 0.03p -0.09 + 0.03p = -0.48 + 0.05p + -0.05p Combine like terms: 0.05p + -0.05p = 0.00 -0.09 + 0.03p = -0.48 + 0.00 -0.09 + 0.03p = -0.48 Add '0.09' to each side of the equation. -0.09 + 0.09 + 0.03p = -0.48 + 0.09 Combine like terms: -0.09 + 0.09 = 0.00 0.00 + 0.03p = -0.48 + 0.09 0.03p = -0.48 + 0.09 Combine like terms: -0.48 + 0.09 = -0.39 0.03p = -0.39 Divide each side by '0.03'. p = -13 Simplifying p = -13
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