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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 = 93p 2 + p = -90 + 93p Solving 2 + p = -90 + 93p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-93p' to each side of the equation. 2 + p + -93p = -90 + 93p + -93p Combine like terms: p + -93p = -92p 2 + -92p = -90 + 93p + -93p Combine like terms: 93p + -93p = 0 2 + -92p = -90 + 0 2 + -92p = -90 Add '-2' to each side of the equation. 2 + -2 + -92p = -90 + -2 Combine like terms: 2 + -2 = 0 0 + -92p = -90 + -2 -92p = -90 + -2 Combine like terms: -90 + -2 = -92 -92p = -92 Divide each side by '-92'. p = 1 Simplifying p = 1
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