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Simplifying 15p + -5(6 + -5p) = 5(p + -6) + -25 15p + (6 * -5 + -5p * -5) = 5(p + -6) + -25 15p + (-30 + 25p) = 5(p + -6) + -25 Reorder the terms: -30 + 15p + 25p = 5(p + -6) + -25 Combine like terms: 15p + 25p = 40p -30 + 40p = 5(p + -6) + -25 Reorder the terms: -30 + 40p = 5(-6 + p) + -25 -30 + 40p = (-6 * 5 + p * 5) + -25 -30 + 40p = (-30 + 5p) + -25 Reorder the terms: -30 + 40p = -30 + -25 + 5p Combine like terms: -30 + -25 = -55 -30 + 40p = -55 + 5p Solving -30 + 40p = -55 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -30 + 40p + -5p = -55 + 5p + -5p Combine like terms: 40p + -5p = 35p -30 + 35p = -55 + 5p + -5p Combine like terms: 5p + -5p = 0 -30 + 35p = -55 + 0 -30 + 35p = -55 Add '30' to each side of the equation. -30 + 30 + 35p = -55 + 30 Combine like terms: -30 + 30 = 0 0 + 35p = -55 + 30 35p = -55 + 30 Combine like terms: -55 + 30 = -25 35p = -25 Divide each side by '35'. p = -0.7142857143 Simplifying p = -0.7142857143
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