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Simplifying 2(21p + -4) = 12p + 7 Reorder the terms: 2(-4 + 21p) = 12p + 7 (-4 * 2 + 21p * 2) = 12p + 7 (-8 + 42p) = 12p + 7 Reorder the terms: -8 + 42p = 7 + 12p Solving -8 + 42p = 7 + 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. -8 + 42p + -12p = 7 + 12p + -12p Combine like terms: 42p + -12p = 30p -8 + 30p = 7 + 12p + -12p Combine like terms: 12p + -12p = 0 -8 + 30p = 7 + 0 -8 + 30p = 7 Add '8' to each side of the equation. -8 + 8 + 30p = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 30p = 7 + 8 30p = 7 + 8 Combine like terms: 7 + 8 = 15 30p = 15 Divide each side by '30'. p = 0.5 Simplifying p = 0.5
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