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Simplifying 6(p + 5) + -3(p + -2) = 12p + 18 Reorder the terms: 6(5 + p) + -3(p + -2) = 12p + 18 (5 * 6 + p * 6) + -3(p + -2) = 12p + 18 (30 + 6p) + -3(p + -2) = 12p + 18 Reorder the terms: 30 + 6p + -3(-2 + p) = 12p + 18 30 + 6p + (-2 * -3 + p * -3) = 12p + 18 30 + 6p + (6 + -3p) = 12p + 18 Reorder the terms: 30 + 6 + 6p + -3p = 12p + 18 Combine like terms: 30 + 6 = 36 36 + 6p + -3p = 12p + 18 Combine like terms: 6p + -3p = 3p 36 + 3p = 12p + 18 Reorder the terms: 36 + 3p = 18 + 12p Solving 36 + 3p = 18 + 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. 36 + 3p + -12p = 18 + 12p + -12p Combine like terms: 3p + -12p = -9p 36 + -9p = 18 + 12p + -12p Combine like terms: 12p + -12p = 0 36 + -9p = 18 + 0 36 + -9p = 18 Add '-36' to each side of the equation. 36 + -36 + -9p = 18 + -36 Combine like terms: 36 + -36 = 0 0 + -9p = 18 + -36 -9p = 18 + -36 Combine like terms: 18 + -36 = -18 -9p = -18 Divide each side by '-9'. p = 2 Simplifying p = 2
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