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Simplifying -7p + -8 = 10(9p + 6) + 8(4 + -9p) Reorder the terms: -8 + -7p = 10(9p + 6) + 8(4 + -9p) Reorder the terms: -8 + -7p = 10(6 + 9p) + 8(4 + -9p) -8 + -7p = (6 * 10 + 9p * 10) + 8(4 + -9p) -8 + -7p = (60 + 90p) + 8(4 + -9p) -8 + -7p = 60 + 90p + (4 * 8 + -9p * 8) -8 + -7p = 60 + 90p + (32 + -72p) Reorder the terms: -8 + -7p = 60 + 32 + 90p + -72p Combine like terms: 60 + 32 = 92 -8 + -7p = 92 + 90p + -72p Combine like terms: 90p + -72p = 18p -8 + -7p = 92 + 18p Solving -8 + -7p = 92 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -8 + -7p + -18p = 92 + 18p + -18p Combine like terms: -7p + -18p = -25p -8 + -25p = 92 + 18p + -18p Combine like terms: 18p + -18p = 0 -8 + -25p = 92 + 0 -8 + -25p = 92 Add '8' to each side of the equation. -8 + 8 + -25p = 92 + 8 Combine like terms: -8 + 8 = 0 0 + -25p = 92 + 8 -25p = 92 + 8 Combine like terms: 92 + 8 = 100 -25p = 100 Divide each side by '-25'. p = -4 Simplifying p = -4
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