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Simplifying -40 + -1p = -1p + 8(3p + -2) Reorder the terms: -40 + -1p = -1p + 8(-2 + 3p) -40 + -1p = -1p + (-2 * 8 + 3p * 8) -40 + -1p = -1p + (-16 + 24p) Reorder the terms: -40 + -1p = -16 + -1p + 24p Combine like terms: -1p + 24p = 23p -40 + -1p = -16 + 23p Solving -40 + -1p = -16 + 23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23p' to each side of the equation. -40 + -1p + -23p = -16 + 23p + -23p Combine like terms: -1p + -23p = -24p -40 + -24p = -16 + 23p + -23p Combine like terms: 23p + -23p = 0 -40 + -24p = -16 + 0 -40 + -24p = -16 Add '40' to each side of the equation. -40 + 40 + -24p = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -24p = -16 + 40 -24p = -16 + 40 Combine like terms: -16 + 40 = 24 -24p = 24 Divide each side by '-24'. p = -1 Simplifying p = -1
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