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Simplifying -6(6p + 5) = 6p + 12 Reorder the terms: -6(5 + 6p) = 6p + 12 (5 * -6 + 6p * -6) = 6p + 12 (-30 + -36p) = 6p + 12 Reorder the terms: -30 + -36p = 12 + 6p Solving -30 + -36p = 12 + 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. -30 + -36p + -6p = 12 + 6p + -6p Combine like terms: -36p + -6p = -42p -30 + -42p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + -42p = 12 + 0 -30 + -42p = 12 Add '30' to each side of the equation. -30 + 30 + -42p = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -42p = 12 + 30 -42p = 12 + 30 Combine like terms: 12 + 30 = 42 -42p = 42 Divide each side by '-42'. p = -1 Simplifying p = -1
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