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Simplifying 4(p + 2) = 7(p + -1) Reorder the terms: 4(2 + p) = 7(p + -1) (2 * 4 + p * 4) = 7(p + -1) (8 + 4p) = 7(p + -1) Reorder the terms: 8 + 4p = 7(-1 + p) 8 + 4p = (-1 * 7 + p * 7) 8 + 4p = (-7 + 7p) Solving 8 + 4p = -7 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 8 + 4p + -7p = -7 + 7p + -7p Combine like terms: 4p + -7p = -3p 8 + -3p = -7 + 7p + -7p Combine like terms: 7p + -7p = 0 8 + -3p = -7 + 0 8 + -3p = -7 Add '-8' to each side of the equation. 8 + -8 + -3p = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3p = -7 + -8 -3p = -7 + -8 Combine like terms: -7 + -8 = -15 -3p = -15 Divide each side by '-3'. p = 5 Simplifying p = 5
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