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Simplifying 4(7p + 8) = -2(4p + 106) Reorder the terms: 4(8 + 7p) = -2(4p + 106) (8 * 4 + 7p * 4) = -2(4p + 106) (32 + 28p) = -2(4p + 106) Reorder the terms: 32 + 28p = -2(106 + 4p) 32 + 28p = (106 * -2 + 4p * -2) 32 + 28p = (-212 + -8p) Solving 32 + 28p = -212 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 32 + 28p + 8p = -212 + -8p + 8p Combine like terms: 28p + 8p = 36p 32 + 36p = -212 + -8p + 8p Combine like terms: -8p + 8p = 0 32 + 36p = -212 + 0 32 + 36p = -212 Add '-32' to each side of the equation. 32 + -32 + 36p = -212 + -32 Combine like terms: 32 + -32 = 0 0 + 36p = -212 + -32 36p = -212 + -32 Combine like terms: -212 + -32 = -244 36p = -244 Divide each side by '36'. p = -6.777777778 Simplifying p = -6.777777778
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