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Simplifying 4(10 + -3p) = 12p + 40 (10 * 4 + -3p * 4) = 12p + 40 (40 + -12p) = 12p + 40 Reorder the terms: 40 + -12p = 40 + 12p Add '-40' to each side of the equation. 40 + -40 + -12p = 40 + -40 + 12p Combine like terms: 40 + -40 = 0 0 + -12p = 40 + -40 + 12p -12p = 40 + -40 + 12p Combine like terms: 40 + -40 = 0 -12p = 0 + 12p -12p = 12p Solving -12p = 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -12p + -12p = 12p + -12p Combine like terms: -12p + -12p = -24p -24p = 12p + -12p Combine like terms: 12p + -12p = 0 -24p = 0 Divide each side by '-24'. p = 0 Simplifying p = 0
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