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Simplifying 5(4 + -7p) = 6p + -21 (4 * 5 + -7p * 5) = 6p + -21 (20 + -35p) = 6p + -21 Reorder the terms: 20 + -35p = -21 + 6p Solving 20 + -35p = -21 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 20 + -35p + -6p = -21 + 6p + -6p Combine like terms: -35p + -6p = -41p 20 + -41p = -21 + 6p + -6p Combine like terms: 6p + -6p = 0 20 + -41p = -21 + 0 20 + -41p = -21 Add '-20' to each side of the equation. 20 + -20 + -41p = -21 + -20 Combine like terms: 20 + -20 = 0 0 + -41p = -21 + -20 -41p = -21 + -20 Combine like terms: -21 + -20 = -41 -41p = -41 Divide each side by '-41'. p = 1 Simplifying p = 1
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