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Simplifying -0.16p + -0.06(3 + -4p) = 0.5(p + -5) + -0.2 -0.16p + (3 * -0.06 + -4p * -0.06) = 0.5(p + -5) + -0.2 -0.16p + (-0.18 + 0.24p) = 0.5(p + -5) + -0.2 Reorder the terms: -0.18 + -0.16p + 0.24p = 0.5(p + -5) + -0.2 Combine like terms: -0.16p + 0.24p = 0.08p -0.18 + 0.08p = 0.5(p + -5) + -0.2 Reorder the terms: -0.18 + 0.08p = 0.5(-5 + p) + -0.2 -0.18 + 0.08p = (-5 * 0.5 + p * 0.5) + -0.2 -0.18 + 0.08p = (-2.5 + 0.5p) + -0.2 Reorder the terms: -0.18 + 0.08p = -2.5 + -0.2 + 0.5p Combine like terms: -2.5 + -0.2 = -2.7 -0.18 + 0.08p = -2.7 + 0.5p Solving -0.18 + 0.08p = -2.7 + 0.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.5p' to each side of the equation. -0.18 + 0.08p + -0.5p = -2.7 + 0.5p + -0.5p Combine like terms: 0.08p + -0.5p = -0.42p -0.18 + -0.42p = -2.7 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 -0.18 + -0.42p = -2.7 + 0.0 -0.18 + -0.42p = -2.7 Add '0.18' to each side of the equation. -0.18 + 0.18 + -0.42p = -2.7 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + -0.42p = -2.7 + 0.18 -0.42p = -2.7 + 0.18 Combine like terms: -2.7 + 0.18 = -2.52 -0.42p = -2.52 Divide each side by '-0.42'. p = 6 Simplifying p = 6
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