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Simplifying -100 = -6(p + 8) + -7p Reorder the terms: -100 = -6(8 + p) + -7p -100 = (8 * -6 + p * -6) + -7p -100 = (-48 + -6p) + -7p Combine like terms: -6p + -7p = -13p -100 = -48 + -13p Solving -100 = -48 + -13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13p' to each side of the equation. -100 + 13p = -48 + -13p + 13p Combine like terms: -13p + 13p = 0 -100 + 13p = -48 + 0 -100 + 13p = -48 Add '100' to each side of the equation. -100 + 100 + 13p = -48 + 100 Combine like terms: -100 + 100 = 0 0 + 13p = -48 + 100 13p = -48 + 100 Combine like terms: -48 + 100 = 52 13p = 52 Divide each side by '13'. p = 4 Simplifying p = 4
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