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Simplifying 214 = -4(1 + 7p) + -6 214 = (1 * -4 + 7p * -4) + -6 214 = (-4 + -28p) + -6 Reorder the terms: 214 = -4 + -6 + -28p Combine like terms: -4 + -6 = -10 214 = -10 + -28p Solving 214 = -10 + -28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28p' to each side of the equation. 214 + 28p = -10 + -28p + 28p Combine like terms: -28p + 28p = 0 214 + 28p = -10 + 0 214 + 28p = -10 Add '-214' to each side of the equation. 214 + -214 + 28p = -10 + -214 Combine like terms: 214 + -214 = 0 0 + 28p = -10 + -214 28p = -10 + -214 Combine like terms: -10 + -214 = -224 28p = -224 Divide each side by '28'. p = -8 Simplifying p = -8
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