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Simplifying 4p + -3(p + 5) = 20p + -12 Reorder the terms: 4p + -3(5 + p) = 20p + -12 4p + (5 * -3 + p * -3) = 20p + -12 4p + (-15 + -3p) = 20p + -12 Reorder the terms: -15 + 4p + -3p = 20p + -12 Combine like terms: 4p + -3p = 1p -15 + 1p = 20p + -12 Reorder the terms: -15 + 1p = -12 + 20p Solving -15 + 1p = -12 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -15 + 1p + -20p = -12 + 20p + -20p Combine like terms: 1p + -20p = -19p -15 + -19p = -12 + 20p + -20p Combine like terms: 20p + -20p = 0 -15 + -19p = -12 + 0 -15 + -19p = -12 Add '15' to each side of the equation. -15 + 15 + -19p = -12 + 15 Combine like terms: -15 + 15 = 0 0 + -19p = -12 + 15 -19p = -12 + 15 Combine like terms: -12 + 15 = 3 -19p = 3 Divide each side by '-19'. p = -0.1578947368 Simplifying p = -0.1578947368
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