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Simplifying 8(3p + -2) = 4(7p + -1) Reorder the terms: 8(-2 + 3p) = 4(7p + -1) (-2 * 8 + 3p * 8) = 4(7p + -1) (-16 + 24p) = 4(7p + -1) Reorder the terms: -16 + 24p = 4(-1 + 7p) -16 + 24p = (-1 * 4 + 7p * 4) -16 + 24p = (-4 + 28p) Solving -16 + 24p = -4 + 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. -16 + 24p + -28p = -4 + 28p + -28p Combine like terms: 24p + -28p = -4p -16 + -4p = -4 + 28p + -28p Combine like terms: 28p + -28p = 0 -16 + -4p = -4 + 0 -16 + -4p = -4 Add '16' to each side of the equation. -16 + 16 + -4p = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -4p = -4 + 16 -4p = -4 + 16 Combine like terms: -4 + 16 = 12 -4p = 12 Divide each side by '-4'. p = -3 Simplifying p = -3
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