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Simplifying 218 = 8p + -6(5p + -7) Reorder the terms: 218 = 8p + -6(-7 + 5p) 218 = 8p + (-7 * -6 + 5p * -6) 218 = 8p + (42 + -30p) Reorder the terms: 218 = 42 + 8p + -30p Combine like terms: 8p + -30p = -22p 218 = 42 + -22p Solving 218 = 42 + -22p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '22p' to each side of the equation. 218 + 22p = 42 + -22p + 22p Combine like terms: -22p + 22p = 0 218 + 22p = 42 + 0 218 + 22p = 42 Add '-218' to each side of the equation. 218 + -218 + 22p = 42 + -218 Combine like terms: 218 + -218 = 0 0 + 22p = 42 + -218 22p = 42 + -218 Combine like terms: 42 + -218 = -176 22p = -176 Divide each side by '22'. p = -8 Simplifying p = -8
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