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Simplifying [p + 4] + 3[1 + p] + -1p = 2[1 + 2p] Reorder the terms: [4 + p] + 3[1 + p] + -1p = 2[1 + 2p] Remove brackets around [4 + p] 4 + p + 3[1 + p] + -1p = 2[1 + 2p] 4 + p + [1 * 3 + p * 3] + -1p = 2[1 + 2p] 4 + p + [3 + 3p] + -1p = 2[1 + 2p] Reorder the terms: 4 + 3 + p + 3p + -1p = 2[1 + 2p] Combine like terms: 4 + 3 = 7 7 + p + 3p + -1p = 2[1 + 2p] Combine like terms: p + 3p = 4p 7 + 4p + -1p = 2[1 + 2p] Combine like terms: 4p + -1p = 3p 7 + 3p = 2[1 + 2p] 7 + 3p = [1 * 2 + 2p * 2] 7 + 3p = [2 + 4p] Solving 7 + 3p = 2 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 7 + 3p + -4p = 2 + 4p + -4p Combine like terms: 3p + -4p = -1p 7 + -1p = 2 + 4p + -4p Combine like terms: 4p + -4p = 0 7 + -1p = 2 + 0 7 + -1p = 2 Add '-7' to each side of the equation. 7 + -7 + -1p = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 2 + -7 -1p = 2 + -7 Combine like terms: 2 + -7 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5
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