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Simplifying -16p + -0.04(2 + -5p) = 0.02(p + -3) + -0.16 -16p + (2 * -0.04 + -5p * -0.04) = 0.02(p + -3) + -0.16 -16p + (-0.08 + 0.2p) = 0.02(p + -3) + -0.16 Reorder the terms: -0.08 + -16p + 0.2p = 0.02(p + -3) + -0.16 Combine like terms: -16p + 0.2p = -15.8p -0.08 + -15.8p = 0.02(p + -3) + -0.16 Reorder the terms: -0.08 + -15.8p = 0.02(-3 + p) + -0.16 -0.08 + -15.8p = (-3 * 0.02 + p * 0.02) + -0.16 -0.08 + -15.8p = (-0.06 + 0.02p) + -0.16 Reorder the terms: -0.08 + -15.8p = -0.06 + -0.16 + 0.02p Combine like terms: -0.06 + -0.16 = -0.22 -0.08 + -15.8p = -0.22 + 0.02p Solving -0.08 + -15.8p = -0.22 + 0.02p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.02p' to each side of the equation. -0.08 + -15.8p + -0.02p = -0.22 + 0.02p + -0.02p Combine like terms: -15.8p + -0.02p = -15.82p -0.08 + -15.82p = -0.22 + 0.02p + -0.02p Combine like terms: 0.02p + -0.02p = 0.00 -0.08 + -15.82p = -0.22 + 0.00 -0.08 + -15.82p = -0.22 Add '0.08' to each side of the equation. -0.08 + 0.08 + -15.82p = -0.22 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + -15.82p = -0.22 + 0.08 -15.82p = -0.22 + 0.08 Combine like terms: -0.22 + 0.08 = -0.14 -15.82p = -0.14 Divide each side by '-15.82'. p = 0.008849557522 Simplifying p = 0.008849557522
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