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Simplifying -47.1 = 6(3p + 7) Reorder the terms: -47.1 = 6(7 + 3p) -47.1 = (7 * 6 + 3p * 6) -47.1 = (42 + 18p) Solving -47.1 = 42 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -47.1 + -18p = 42 + 18p + -18p Combine like terms: 18p + -18p = 0 -47.1 + -18p = 42 + 0 -47.1 + -18p = 42 Add '47.1' to each side of the equation. -47.1 + 47.1 + -18p = 42 + 47.1 Combine like terms: -47.1 + 47.1 = 0.0 0.0 + -18p = 42 + 47.1 -18p = 42 + 47.1 Combine like terms: 42 + 47.1 = 89.1 -18p = 89.1 Divide each side by '-18'. p = -4.95 Simplifying p = -4.95
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