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Simplifying 5(p + 3) + 9 = 3(p + -2) * 6 Reorder the terms: 5(3 + p) + 9 = 3(p + -2) * 6 (3 * 5 + p * 5) + 9 = 3(p + -2) * 6 (15 + 5p) + 9 = 3(p + -2) * 6 Reorder the terms: 15 + 9 + 5p = 3(p + -2) * 6 Combine like terms: 15 + 9 = 24 24 + 5p = 3(p + -2) * 6 Reorder the terms: 24 + 5p = 3(-2 + p) * 6 Reorder the terms for easier multiplication: 24 + 5p = 3 * 6(-2 + p) Multiply 3 * 6 24 + 5p = 18(-2 + p) 24 + 5p = (-2 * 18 + p * 18) 24 + 5p = (-36 + 18p) Solving 24 + 5p = -36 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. 24 + 5p + -18p = -36 + 18p + -18p Combine like terms: 5p + -18p = -13p 24 + -13p = -36 + 18p + -18p Combine like terms: 18p + -18p = 0 24 + -13p = -36 + 0 24 + -13p = -36 Add '-24' to each side of the equation. 24 + -24 + -13p = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -13p = -36 + -24 -13p = -36 + -24 Combine like terms: -36 + -24 = -60 -13p = -60 Divide each side by '-13'. p = 4.615384615 Simplifying p = 4.615384615
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