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Simplifying 2(3p + -6) = 5(4 + -1p) Reorder the terms: 2(-6 + 3p) = 5(4 + -1p) (-6 * 2 + 3p * 2) = 5(4 + -1p) (-12 + 6p) = 5(4 + -1p) -12 + 6p = (4 * 5 + -1p * 5) -12 + 6p = (20 + -5p) Solving -12 + 6p = 20 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -12 + 6p + 5p = 20 + -5p + 5p Combine like terms: 6p + 5p = 11p -12 + 11p = 20 + -5p + 5p Combine like terms: -5p + 5p = 0 -12 + 11p = 20 + 0 -12 + 11p = 20 Add '12' to each side of the equation. -12 + 12 + 11p = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 11p = 20 + 12 11p = 20 + 12 Combine like terms: 20 + 12 = 32 11p = 32 Divide each side by '11'. p = 2.909090909 Simplifying p = 2.909090909
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