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Simplifying 3[p + -3] + -5p = -3p + -6 Reorder the terms: 3[-3 + p] + -5p = -3p + -6 [-3 * 3 + p * 3] + -5p = -3p + -6 [-9 + 3p] + -5p = -3p + -6 Combine like terms: 3p + -5p = -2p -9 + -2p = -3p + -6 Reorder the terms: -9 + -2p = -6 + -3p Solving -9 + -2p = -6 + -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. -9 + -2p + 3p = -6 + -3p + 3p Combine like terms: -2p + 3p = 1p -9 + 1p = -6 + -3p + 3p Combine like terms: -3p + 3p = 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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