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Simplifying -106 = 22 + 8(3p + -4) Reorder the terms: -106 = 22 + 8(-4 + 3p) -106 = 22 + (-4 * 8 + 3p * 8) -106 = 22 + (-32 + 24p) Combine like terms: 22 + -32 = -10 -106 = -10 + 24p Solving -106 = -10 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -106 + -24p = -10 + 24p + -24p Combine like terms: 24p + -24p = 0 -106 + -24p = -10 + 0 -106 + -24p = -10 Add '106' to each side of the equation. -106 + 106 + -24p = -10 + 106 Combine like terms: -106 + 106 = 0 0 + -24p = -10 + 106 -24p = -10 + 106 Combine like terms: -10 + 106 = 96 -24p = 96 Divide each side by '-24'. p = -4 Simplifying p = -4
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