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Simplifying 20p + -5(6 + -5p) = 3(p + -3) + -15 20p + (6 * -5 + -5p * -5) = 3(p + -3) + -15 20p + (-30 + 25p) = 3(p + -3) + -15 Reorder the terms: -30 + 20p + 25p = 3(p + -3) + -15 Combine like terms: 20p + 25p = 45p -30 + 45p = 3(p + -3) + -15 Reorder the terms: -30 + 45p = 3(-3 + p) + -15 -30 + 45p = (-3 * 3 + p * 3) + -15 -30 + 45p = (-9 + 3p) + -15 Reorder the terms: -30 + 45p = -9 + -15 + 3p Combine like terms: -9 + -15 = -24 -30 + 45p = -24 + 3p Solving -30 + 45p = -24 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -30 + 45p + -3p = -24 + 3p + -3p Combine like terms: 45p + -3p = 42p -30 + 42p = -24 + 3p + -3p Combine like terms: 3p + -3p = 0 -30 + 42p = -24 + 0 -30 + 42p = -24 Add '30' to each side of the equation. -30 + 30 + 42p = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 42p = -24 + 30 42p = -24 + 30 Combine like terms: -24 + 30 = 6 42p = 6 Divide each side by '42'. p = 0.1428571429 Simplifying p = 0.1428571429
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