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Simplifying -40 + 3p = 7(3p + 2) Reorder the terms: -40 + 3p = 7(2 + 3p) -40 + 3p = (2 * 7 + 3p * 7) -40 + 3p = (14 + 21p) Solving -40 + 3p = 14 + 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. -40 + 3p + -21p = 14 + 21p + -21p Combine like terms: 3p + -21p = -18p -40 + -18p = 14 + 21p + -21p Combine like terms: 21p + -21p = 0 -40 + -18p = 14 + 0 -40 + -18p = 14 Add '40' to each side of the equation. -40 + 40 + -18p = 14 + 40 Combine like terms: -40 + 40 = 0 0 + -18p = 14 + 40 -18p = 14 + 40 Combine like terms: 14 + 40 = 54 -18p = 54 Divide each side by '-18'. p = -3 Simplifying p = -3
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