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Simplifying 6p + 6 = -5 + -3(p + 9) Reorder the terms: 6 + 6p = -5 + -3(p + 9) Reorder the terms: 6 + 6p = -5 + -3(9 + p) 6 + 6p = -5 + (9 * -3 + p * -3) 6 + 6p = -5 + (-27 + -3p) Combine like terms: -5 + -27 = -32 6 + 6p = -32 + -3p Solving 6 + 6p = -32 + -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. 6 + 6p + 3p = -32 + -3p + 3p Combine like terms: 6p + 3p = 9p 6 + 9p = -32 + -3p + 3p Combine like terms: -3p + 3p = 0 6 + 9p = -32 + 0 6 + 9p = -32 Add '-6' to each side of the equation. 6 + -6 + 9p = -32 + -6 Combine like terms: 6 + -6 = 0 0 + 9p = -32 + -6 9p = -32 + -6 Combine like terms: -32 + -6 = -38 9p = -38 Divide each side by '9'. p = -4.222222222 Simplifying p = -4.222222222
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