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Simplifying 4x + -1x + 9 = 3(x + 2) + p Reorder the terms: 9 + 4x + -1x = 3(x + 2) + p Combine like terms: 4x + -1x = 3x 9 + 3x = 3(x + 2) + p Reorder the terms: 9 + 3x = 3(2 + x) + p 9 + 3x = (2 * 3 + x * 3) + p 9 + 3x = (6 + 3x) + p Reorder the terms: 9 + 3x = 6 + p + 3x Add '-3x' to each side of the equation. 9 + 3x + -3x = 6 + p + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 0 = 6 + p + 3x + -3x 9 = 6 + p + 3x + -3x Combine like terms: 3x + -3x = 0 9 = 6 + p + 0 9 = 6 + p Solving 9 = 6 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 9 + -1p = 6 + p + -1p Combine like terms: p + -1p = 0 9 + -1p = 6 + 0 9 + -1p = 6 Add '-9' to each side of the equation. 9 + -9 + -1p = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -1p = 6 + -9 -1p = 6 + -9 Combine like terms: 6 + -9 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3
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