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Simplifying 1 + -3[2p + -9] = p + 4 Reorder the terms: 1 + -3[-9 + 2p] = p + 4 1 + [-9 * -3 + 2p * -3] = p + 4 1 + [27 + -6p] = p + 4 Combine like terms: 1 + 27 = 28 28 + -6p = p + 4 Reorder the terms: 28 + -6p = 4 + p Solving 28 + -6p = 4 + 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. 28 + -6p + -1p = 4 + p + -1p Combine like terms: -6p + -1p = -7p 28 + -7p = 4 + p + -1p Combine like terms: p + -1p = 0 28 + -7p = 4 + 0 28 + -7p = 4 Add '-28' to each side of the equation. 28 + -28 + -7p = 4 + -28 Combine like terms: 28 + -28 = 0 0 + -7p = 4 + -28 -7p = 4 + -28 Combine like terms: 4 + -28 = -24 -7p = -24 Divide each side by '-7'. p = 3.428571429 Simplifying p = 3.428571429
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