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Simplifying 6(p + -4) + -3p = 18 + -3p Reorder the terms: 6(-4 + p) + -3p = 18 + -3p (-4 * 6 + p * 6) + -3p = 18 + -3p (-24 + 6p) + -3p = 18 + -3p Combine like terms: 6p + -3p = 3p -24 + 3p = 18 + -3p Solving -24 + 3p = 18 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -24 + 3p + 3p = 18 + -3p + 3p Combine like terms: 3p + 3p = 6p -24 + 6p = 18 + -3p + 3p Combine like terms: -3p + 3p = 0 -24 + 6p = 18 + 0 -24 + 6p = 18 Add '24' to each side of the equation. -24 + 24 + 6p = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 6p = 18 + 24 6p = 18 + 24 Combine like terms: 18 + 24 = 42 6p = 42 Divide each side by '6'. p = 7 Simplifying p = 7
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