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Simplifying -16 + -7p = -1(p + 3) + 5 Reorder the terms: -16 + -7p = -1(3 + p) + 5 -16 + -7p = (3 * -1 + p * -1) + 5 -16 + -7p = (-3 + -1p) + 5 Reorder the terms: -16 + -7p = -3 + 5 + -1p Combine like terms: -3 + 5 = 2 -16 + -7p = 2 + -1p Solving -16 + -7p = 2 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -16 + -7p + p = 2 + -1p + p Combine like terms: -7p + p = -6p -16 + -6p = 2 + -1p + p Combine like terms: -1p + p = 0 -16 + -6p = 2 + 0 -16 + -6p = 2 Add '16' to each side of the equation. -16 + 16 + -6p = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -6p = 2 + 16 -6p = 2 + 16 Combine like terms: 2 + 16 = 18 -6p = 18 Divide each side by '-6'. p = -3 Simplifying p = -3
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