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Simplifying 4(12 + -7p) = -4(-6 + -10p) (12 * 4 + -7p * 4) = -4(-6 + -10p) (48 + -28p) = -4(-6 + -10p) 48 + -28p = (-6 * -4 + -10p * -4) 48 + -28p = (24 + 40p) Solving 48 + -28p = 24 + 40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40p' to each side of the equation. 48 + -28p + -40p = 24 + 40p + -40p Combine like terms: -28p + -40p = -68p 48 + -68p = 24 + 40p + -40p Combine like terms: 40p + -40p = 0 48 + -68p = 24 + 0 48 + -68p = 24 Add '-48' to each side of the equation. 48 + -48 + -68p = 24 + -48 Combine like terms: 48 + -48 = 0 0 + -68p = 24 + -48 -68p = 24 + -48 Combine like terms: 24 + -48 = -24 -68p = -24 Divide each side by '-68'. p = 0.3529411765 Simplifying p = 0.3529411765
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