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Simplifying 0.1p + -9 = 0.4p + -29 Reorder the terms: -9 + 0.1p = 0.4p + -29 Reorder the terms: -9 + 0.1p = -29 + 0.4p Solving -9 + 0.1p = -29 + 0.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.4p' to each side of the equation. -9 + 0.1p + -0.4p = -29 + 0.4p + -0.4p Combine like terms: 0.1p + -0.4p = -0.3p -9 + -0.3p = -29 + 0.4p + -0.4p Combine like terms: 0.4p + -0.4p = 0.0 -9 + -0.3p = -29 + 0.0 -9 + -0.3p = -29 Add '9' to each side of the equation. -9 + 9 + -0.3p = -29 + 9 Combine like terms: -9 + 9 = 0 0 + -0.3p = -29 + 9 -0.3p = -29 + 9 Combine like terms: -29 + 9 = -20 -0.3p = -20 Divide each side by '-0.3'. p = 66.66666667 Simplifying p = 66.66666667
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