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Simplifying 16p + 16 = -6(-7p + 19) Reorder the terms: 16 + 16p = -6(-7p + 19) Reorder the terms: 16 + 16p = -6(19 + -7p) 16 + 16p = (19 * -6 + -7p * -6) 16 + 16p = (-114 + 42p) Solving 16 + 16p = -114 + 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. 16 + 16p + -42p = -114 + 42p + -42p Combine like terms: 16p + -42p = -26p 16 + -26p = -114 + 42p + -42p Combine like terms: 42p + -42p = 0 16 + -26p = -114 + 0 16 + -26p = -114 Add '-16' to each side of the equation. 16 + -16 + -26p = -114 + -16 Combine like terms: 16 + -16 = 0 0 + -26p = -114 + -16 -26p = -114 + -16 Combine like terms: -114 + -16 = -130 -26p = -130 Divide each side by '-26'. p = 5 Simplifying p = 5
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