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Simplifying -84 = -6(5p + -7) + -6 Reorder the terms: -84 = -6(-7 + 5p) + -6 -84 = (-7 * -6 + 5p * -6) + -6 -84 = (42 + -30p) + -6 Reorder the terms: -84 = 42 + -6 + -30p Combine like terms: 42 + -6 = 36 -84 = 36 + -30p Solving -84 = 36 + -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. -84 + 30p = 36 + -30p + 30p Combine like terms: -30p + 30p = 0 -84 + 30p = 36 + 0 -84 + 30p = 36 Add '84' to each side of the equation. -84 + 84 + 30p = 36 + 84 Combine like terms: -84 + 84 = 0 0 + 30p = 36 + 84 30p = 36 + 84 Combine like terms: 36 + 84 = 120 30p = 120 Divide each side by '30'. p = 4 Simplifying p = 4
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