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Simplifying 6p + 3 = 3(-7p + 1) Reorder the terms: 3 + 6p = 3(-7p + 1) Reorder the terms: 3 + 6p = 3(1 + -7p) 3 + 6p = (1 * 3 + -7p * 3) 3 + 6p = (3 + -21p) Add '-3' to each side of the equation. 3 + -3 + 6p = 3 + -3 + -21p Combine like terms: 3 + -3 = 0 0 + 6p = 3 + -3 + -21p 6p = 3 + -3 + -21p Combine like terms: 3 + -3 = 0 6p = 0 + -21p 6p = -21p Solving 6p = -21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21p' to each side of the equation. 6p + 21p = -21p + 21p Combine like terms: 6p + 21p = 27p 27p = -21p + 21p Combine like terms: -21p + 21p = 0 27p = 0 Divide each side by '27'. p = 0 Simplifying p = 0
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