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Simplifying 3p + -9 = 0.3(3p + -27) Reorder the terms: -9 + 3p = 0.3(3p + -27) Reorder the terms: -9 + 3p = 0.3(-27 + 3p) -9 + 3p = (-27 * 0.3 + 3p * 0.3) -9 + 3p = (-8.1 + 0.9p) Solving -9 + 3p = -8.1 + 0.9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.9p' to each side of the equation. -9 + 3p + -0.9p = -8.1 + 0.9p + -0.9p Combine like terms: 3p + -0.9p = 2.1p -9 + 2.1p = -8.1 + 0.9p + -0.9p Combine like terms: 0.9p + -0.9p = 0.0 -9 + 2.1p = -8.1 + 0.0 -9 + 2.1p = -8.1 Add '9' to each side of the equation. -9 + 9 + 2.1p = -8.1 + 9 Combine like terms: -9 + 9 = 0 0 + 2.1p = -8.1 + 9 2.1p = -8.1 + 9 Combine like terms: -8.1 + 9 = 0.9 2.1p = 0.9 Divide each side by '2.1'. p = 0.4285714286 Simplifying p = 0.4285714286
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