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Simplifying -15p + -14 + -16p = -7(6p + -20) Reorder the terms: -14 + -15p + -16p = -7(6p + -20) Combine like terms: -15p + -16p = -31p -14 + -31p = -7(6p + -20) Reorder the terms: -14 + -31p = -7(-20 + 6p) -14 + -31p = (-20 * -7 + 6p * -7) -14 + -31p = (140 + -42p) Solving -14 + -31p = 140 + -42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '42p' to each side of the equation. -14 + -31p + 42p = 140 + -42p + 42p Combine like terms: -31p + 42p = 11p -14 + 11p = 140 + -42p + 42p Combine like terms: -42p + 42p = 0 -14 + 11p = 140 + 0 -14 + 11p = 140 Add '14' to each side of the equation. -14 + 14 + 11p = 140 + 14 Combine like terms: -14 + 14 = 0 0 + 11p = 140 + 14 11p = 140 + 14 Combine like terms: 140 + 14 = 154 11p = 154 Divide each side by '11'. p = 14 Simplifying p = 14
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