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Simplifying 0.02p + -0.03(5 + -2p) = 0.04(p + -5) + -0.07 0.02p + (5 * -0.03 + -2p * -0.03) = 0.04(p + -5) + -0.07 0.02p + (-0.15 + 0.06p) = 0.04(p + -5) + -0.07 Reorder the terms: -0.15 + 0.02p + 0.06p = 0.04(p + -5) + -0.07 Combine like terms: 0.02p + 0.06p = 0.08p -0.15 + 0.08p = 0.04(p + -5) + -0.07 Reorder the terms: -0.15 + 0.08p = 0.04(-5 + p) + -0.07 -0.15 + 0.08p = (-5 * 0.04 + p * 0.04) + -0.07 -0.15 + 0.08p = (-0.2 + 0.04p) + -0.07 Reorder the terms: -0.15 + 0.08p = -0.2 + -0.07 + 0.04p Combine like terms: -0.2 + -0.07 = -0.27 -0.15 + 0.08p = -0.27 + 0.04p Solving -0.15 + 0.08p = -0.27 + 0.04p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.04p' to each side of the equation. -0.15 + 0.08p + -0.04p = -0.27 + 0.04p + -0.04p Combine like terms: 0.08p + -0.04p = 0.04p -0.15 + 0.04p = -0.27 + 0.04p + -0.04p Combine like terms: 0.04p + -0.04p = 0.00 -0.15 + 0.04p = -0.27 + 0.00 -0.15 + 0.04p = -0.27 Add '0.15' to each side of the equation. -0.15 + 0.15 + 0.04p = -0.27 + 0.15 Combine like terms: -0.15 + 0.15 = 0.00 0.00 + 0.04p = -0.27 + 0.15 0.04p = -0.27 + 0.15 Combine like terms: -0.27 + 0.15 = -0.12 0.04p = -0.12 Divide each side by '0.04'. p = -3 Simplifying p = -3
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