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Simplifying 6(-7p + -6) = 36 + -6p Reorder the terms: 6(-6 + -7p) = 36 + -6p (-6 * 6 + -7p * 6) = 36 + -6p (-36 + -42p) = 36 + -6p Solving -36 + -42p = 36 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -36 + -42p + 6p = 36 + -6p + 6p Combine like terms: -42p + 6p = -36p -36 + -36p = 36 + -6p + 6p Combine like terms: -6p + 6p = 0 -36 + -36p = 36 + 0 -36 + -36p = 36 Add '36' to each side of the equation. -36 + 36 + -36p = 36 + 36 Combine like terms: -36 + 36 = 0 0 + -36p = 36 + 36 -36p = 36 + 36 Combine like terms: 36 + 36 = 72 -36p = 72 Divide each side by '-36'. p = -2 Simplifying p = -2
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