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Simplifying p + 2 = 6(-3p + -10) + -5(6 + -15p) Reorder the terms: 2 + p = 6(-3p + -10) + -5(6 + -15p) Reorder the terms: 2 + p = 6(-10 + -3p) + -5(6 + -15p) 2 + p = (-10 * 6 + -3p * 6) + -5(6 + -15p) 2 + p = (-60 + -18p) + -5(6 + -15p) 2 + p = -60 + -18p + (6 * -5 + -15p * -5) 2 + p = -60 + -18p + (-30 + 75p) Reorder the terms: 2 + p = -60 + -30 + -18p + 75p Combine like terms: -60 + -30 = -90 2 + p = -90 + -18p + 75p Combine like terms: -18p + 75p = 57p 2 + p = -90 + 57p Solving 2 + p = -90 + 57p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-57p' to each side of the equation. 2 + p + -57p = -90 + 57p + -57p Combine like terms: p + -57p = -56p 2 + -56p = -90 + 57p + -57p Combine like terms: 57p + -57p = 0 2 + -56p = -90 + 0 2 + -56p = -90 Add '-2' to each side of the equation. 2 + -2 + -56p = -90 + -2 Combine like terms: 2 + -2 = 0 0 + -56p = -90 + -2 -56p = -90 + -2 Combine like terms: -90 + -2 = -92 -56p = -92 Divide each side by '-56'. p = 1.642857143 Simplifying p = 1.642857143
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