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Simplifying -0.07 + -0.03(5 + -6p) = 0.06(p + -2) + -0.13 -0.07 + (5 * -0.03 + -6p * -0.03) = 0.06(p + -2) + -0.13 -0.07 + (-0.15 + 0.18p) = 0.06(p + -2) + -0.13 Combine like terms: -0.07 + -0.15 = -0.22 -0.22 + 0.18p = 0.06(p + -2) + -0.13 Reorder the terms: -0.22 + 0.18p = 0.06(-2 + p) + -0.13 -0.22 + 0.18p = (-2 * 0.06 + p * 0.06) + -0.13 -0.22 + 0.18p = (-0.12 + 0.06p) + -0.13 Reorder the terms: -0.22 + 0.18p = -0.12 + -0.13 + 0.06p Combine like terms: -0.12 + -0.13 = -0.25 -0.22 + 0.18p = -0.25 + 0.06p Solving -0.22 + 0.18p = -0.25 + 0.06p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.06p' to each side of the equation. -0.22 + 0.18p + -0.06p = -0.25 + 0.06p + -0.06p Combine like terms: 0.18p + -0.06p = 0.12p -0.22 + 0.12p = -0.25 + 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 -0.22 + 0.12p = -0.25 + 0.00 -0.22 + 0.12p = -0.25 Add '0.22' to each side of the equation. -0.22 + 0.22 + 0.12p = -0.25 + 0.22 Combine like terms: -0.22 + 0.22 = 0.00 0.00 + 0.12p = -0.25 + 0.22 0.12p = -0.25 + 0.22 Combine like terms: -0.25 + 0.22 = -0.03 0.12p = -0.03 Divide each side by '0.12'. p = -0.25 Simplifying p = -0.25
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