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Simplifying -3p + 7 = 6(8p + 3) Reorder the terms: 7 + -3p = 6(8p + 3) Reorder the terms: 7 + -3p = 6(3 + 8p) 7 + -3p = (3 * 6 + 8p * 6) 7 + -3p = (18 + 48p) Solving 7 + -3p = 18 + 48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48p' to each side of the equation. 7 + -3p + -48p = 18 + 48p + -48p Combine like terms: -3p + -48p = -51p 7 + -51p = 18 + 48p + -48p Combine like terms: 48p + -48p = 0 7 + -51p = 18 + 0 7 + -51p = 18 Add '-7' to each side of the equation. 7 + -7 + -51p = 18 + -7 Combine like terms: 7 + -7 = 0 0 + -51p = 18 + -7 -51p = 18 + -7 Combine like terms: 18 + -7 = 11 -51p = 11 Divide each side by '-51'. p = -0.2156862745 Simplifying p = -0.2156862745
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