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Simplifying -7p + -34 = -6(5p + -2) Reorder the terms: -34 + -7p = -6(5p + -2) Reorder the terms: -34 + -7p = -6(-2 + 5p) -34 + -7p = (-2 * -6 + 5p * -6) -34 + -7p = (12 + -30p) Solving -34 + -7p = 12 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. -34 + -7p + 30p = 12 + -30p + 30p Combine like terms: -7p + 30p = 23p -34 + 23p = 12 + -30p + 30p Combine like terms: -30p + 30p = 0 -34 + 23p = 12 + 0 -34 + 23p = 12 Add '34' to each side of the equation. -34 + 34 + 23p = 12 + 34 Combine like terms: -34 + 34 = 0 0 + 23p = 12 + 34 23p = 12 + 34 Combine like terms: 12 + 34 = 46 23p = 46 Divide each side by '23'. p = 2 Simplifying p = 2
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