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Simplifying 3(2p + -7) = 3(p + 1) Reorder the terms: 3(-7 + 2p) = 3(p + 1) (-7 * 3 + 2p * 3) = 3(p + 1) (-21 + 6p) = 3(p + 1) Reorder the terms: -21 + 6p = 3(1 + p) -21 + 6p = (1 * 3 + p * 3) -21 + 6p = (3 + 3p) Solving -21 + 6p = 3 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -21 + 6p + -3p = 3 + 3p + -3p Combine like terms: 6p + -3p = 3p -21 + 3p = 3 + 3p + -3p Combine like terms: 3p + -3p = 0 -21 + 3p = 3 + 0 -21 + 3p = 3 Add '21' to each side of the equation. -21 + 21 + 3p = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 3p = 3 + 21 3p = 3 + 21 Combine like terms: 3 + 21 = 24 3p = 24 Divide each side by '3'. p = 8 Simplifying p = 8
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