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Simplifying 3(2 + -5p) = 10p + -194 (2 * 3 + -5p * 3) = 10p + -194 (6 + -15p) = 10p + -194 Reorder the terms: 6 + -15p = -194 + 10p Solving 6 + -15p = -194 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 6 + -15p + -10p = -194 + 10p + -10p Combine like terms: -15p + -10p = -25p 6 + -25p = -194 + 10p + -10p Combine like terms: 10p + -10p = 0 6 + -25p = -194 + 0 6 + -25p = -194 Add '-6' to each side of the equation. 6 + -6 + -25p = -194 + -6 Combine like terms: 6 + -6 = 0 0 + -25p = -194 + -6 -25p = -194 + -6 Combine like terms: -194 + -6 = -200 -25p = -200 Divide each side by '-25'. p = 8 Simplifying p = 8
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