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Simplifying -6p + 8 = 4(5p + 9) + 3(-7 + -9p) Reorder the terms: 8 + -6p = 4(5p + 9) + 3(-7 + -9p) Reorder the terms: 8 + -6p = 4(9 + 5p) + 3(-7 + -9p) 8 + -6p = (9 * 4 + 5p * 4) + 3(-7 + -9p) 8 + -6p = (36 + 20p) + 3(-7 + -9p) 8 + -6p = 36 + 20p + (-7 * 3 + -9p * 3) 8 + -6p = 36 + 20p + (-21 + -27p) Reorder the terms: 8 + -6p = 36 + -21 + 20p + -27p Combine like terms: 36 + -21 = 15 8 + -6p = 15 + 20p + -27p Combine like terms: 20p + -27p = -7p 8 + -6p = 15 + -7p Solving 8 + -6p = 15 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 8 + -6p + 7p = 15 + -7p + 7p Combine like terms: -6p + 7p = 1p 8 + 1p = 15 + -7p + 7p Combine like terms: -7p + 7p = 0 8 + 1p = 15 + 0 8 + 1p = 15 Add '-8' to each side of the equation. 8 + -8 + 1p = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 1p = 15 + -8 1p = 15 + -8 Combine like terms: 15 + -8 = 7 1p = 7 Divide each side by '1'. p = 7 Simplifying p = 7
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