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Simplifying 0.4 + -0.3p = 0.1(p + 4) Reorder the terms: 0.4 + -0.3p = 0.1(4 + p) 0.4 + -0.3p = (4 * 0.1 + p * 0.1) 0.4 + -0.3p = (0.4 + 0.1p) Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.3p = 0.4 + -0.4 + 0.1p Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.3p = 0.4 + -0.4 + 0.1p -0.3p = 0.4 + -0.4 + 0.1p Combine like terms: 0.4 + -0.4 = 0.0 -0.3p = 0.0 + 0.1p -0.3p = 0.1p Solving -0.3p = 0.1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.1p' to each side of the equation. -0.3p + -0.1p = 0.1p + -0.1p Combine like terms: -0.3p + -0.1p = -0.4p -0.4p = 0.1p + -0.1p Combine like terms: 0.1p + -0.1p = 0.0 -0.4p = 0.0 Divide each side by '-0.4'. p = 0 Simplifying p = 0
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