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Simplifying -7p + -8 = -8(10p + 4) + 9(8 + 9p) Reorder the terms: -8 + -7p = -8(10p + 4) + 9(8 + 9p) Reorder the terms: -8 + -7p = -8(4 + 10p) + 9(8 + 9p) -8 + -7p = (4 * -8 + 10p * -8) + 9(8 + 9p) -8 + -7p = (-32 + -80p) + 9(8 + 9p) -8 + -7p = -32 + -80p + (8 * 9 + 9p * 9) -8 + -7p = -32 + -80p + (72 + 81p) Reorder the terms: -8 + -7p = -32 + 72 + -80p + 81p Combine like terms: -32 + 72 = 40 -8 + -7p = 40 + -80p + 81p Combine like terms: -80p + 81p = 1p -8 + -7p = 40 + 1p Solving -8 + -7p = 40 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -8 + -7p + -1p = 40 + 1p + -1p Combine like terms: -7p + -1p = -8p -8 + -8p = 40 + 1p + -1p Combine like terms: 1p + -1p = 0 -8 + -8p = 40 + 0 -8 + -8p = 40 Add '8' to each side of the equation. -8 + 8 + -8p = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -8p = 40 + 8 -8p = 40 + 8 Combine like terms: 40 + 8 = 48 -8p = 48 Divide each side by '-8'. p = -6 Simplifying p = -6
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