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Simplifying 0.6 + -0.4p = 0.1(p + 6) Reorder the terms: 0.6 + -0.4p = 0.1(6 + p) 0.6 + -0.4p = (6 * 0.1 + p * 0.1) 0.6 + -0.4p = (0.6 + 0.1p) Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.4p = 0.6 + -0.6 + 0.1p Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.4p = 0.6 + -0.6 + 0.1p -0.4p = 0.6 + -0.6 + 0.1p Combine like terms: 0.6 + -0.6 = 0.0 -0.4p = 0.0 + 0.1p -0.4p = 0.1p Solving -0.4p = 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. -0.4p + -0.1p = 0.1p + -0.1p Combine like terms: -0.4p + -0.1p = -0.5p -0.5p = 0.1p + -0.1p Combine like terms: 0.1p + -0.1p = 0.0 -0.5p = 0.0 Divide each side by '-0.5'. p = 0 Simplifying p = 0
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