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Simplifying 6(p + 5) + -1(p + -2) = 12p + 18 Reorder the terms: 6(5 + p) + -1(p + -2) = 12p + 18 (5 * 6 + p * 6) + -1(p + -2) = 12p + 18 (30 + 6p) + -1(p + -2) = 12p + 18 Reorder the terms: 30 + 6p + -1(-2 + p) = 12p + 18 30 + 6p + (-2 * -1 + p * -1) = 12p + 18 30 + 6p + (2 + -1p) = 12p + 18 Reorder the terms: 30 + 2 + 6p + -1p = 12p + 18 Combine like terms: 30 + 2 = 32 32 + 6p + -1p = 12p + 18 Combine like terms: 6p + -1p = 5p 32 + 5p = 12p + 18 Reorder the terms: 32 + 5p = 18 + 12p Solving 32 + 5p = 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. 32 + 5p + -12p = 18 + 12p + -12p Combine like terms: 5p + -12p = -7p 32 + -7p = 18 + 12p + -12p Combine like terms: 12p + -12p = 0 32 + -7p = 18 + 0 32 + -7p = 18 Add '-32' to each side of the equation. 32 + -32 + -7p = 18 + -32 Combine like terms: 32 + -32 = 0 0 + -7p = 18 + -32 -7p = 18 + -32 Combine like terms: 18 + -32 = -14 -7p = -14 Divide each side by '-7'. p = 2 Simplifying p = 2
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