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Simplifying 0.50p + -0.20(70 + p) = 0.10(70) 0.50p + (70 * -0.20 + p * -0.20) = 0.10(70) 0.50p + (-14 + -0.20p) = 0.10(70) Reorder the terms: -14 + 0.50p + -0.20p = 0.10(70) Combine like terms: 0.50p + -0.20p = 0.3p -14 + 0.3p = 0.10(70) Multiply 0.10 * 70 -14 + 0.3p = 7 Solving -14 + 0.3p = 7 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 0.3p = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 0.3p = 7 + 14 0.3p = 7 + 14 Combine like terms: 7 + 14 = 21 0.3p = 21 Divide each side by '0.3'. p = 70 Simplifying p = 70
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