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Simplifying p + -1(4p + -7) = 5p + -1(p + 21) Reorder the terms: p + -1(-7 + 4p) = 5p + -1(p + 21) p + (-7 * -1 + 4p * -1) = 5p + -1(p + 21) p + (7 + -4p) = 5p + -1(p + 21) Reorder the terms: 7 + p + -4p = 5p + -1(p + 21) Combine like terms: p + -4p = -3p 7 + -3p = 5p + -1(p + 21) Reorder the terms: 7 + -3p = 5p + -1(21 + p) 7 + -3p = 5p + (21 * -1 + p * -1) 7 + -3p = 5p + (-21 + -1p) Reorder the terms: 7 + -3p = -21 + 5p + -1p Combine like terms: 5p + -1p = 4p 7 + -3p = -21 + 4p Solving 7 + -3p = -21 + 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 = -21 + 4p + -4p Combine like terms: -3p + -4p = -7p 7 + -7p = -21 + 4p + -4p Combine like terms: 4p + -4p = 0 7 + -7p = -21 + 0 7 + -7p = -21 Add '-7' to each side of the equation. 7 + -7 + -7p = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -7p = -21 + -7 -7p = -21 + -7 Combine like terms: -21 + -7 = -28 -7p = -28 Divide each side by '-7'. p = 4 Simplifying p = 4
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