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Simplifying 4p + 16 = 2(5p + -1) Reorder the terms: 16 + 4p = 2(5p + -1) Reorder the terms: 16 + 4p = 2(-1 + 5p) 16 + 4p = (-1 * 2 + 5p * 2) 16 + 4p = (-2 + 10p) Solving 16 + 4p = -2 + 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. 16 + 4p + -10p = -2 + 10p + -10p Combine like terms: 4p + -10p = -6p 16 + -6p = -2 + 10p + -10p Combine like terms: 10p + -10p = 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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