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Simplifying 7(p + -6) = -6(7 + -6p) Reorder the terms: 7(-6 + p) = -6(7 + -6p) (-6 * 7 + p * 7) = -6(7 + -6p) (-42 + 7p) = -6(7 + -6p) -42 + 7p = (7 * -6 + -6p * -6) -42 + 7p = (-42 + 36p) Add '42' to each side of the equation. -42 + 42 + 7p = -42 + 42 + 36p Combine like terms: -42 + 42 = 0 0 + 7p = -42 + 42 + 36p 7p = -42 + 42 + 36p Combine like terms: -42 + 42 = 0 7p = 0 + 36p 7p = 36p Solving 7p = 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. 7p + -36p = 36p + -36p Combine like terms: 7p + -36p = -29p -29p = 36p + -36p Combine like terms: 36p + -36p = 0 -29p = 0 Divide each side by '-29'. p = 0 Simplifying p = 0
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