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Simplifying -16p + -5(6 + -5p) = 6(p + -2) + -18 -16p + (6 * -5 + -5p * -5) = 6(p + -2) + -18 -16p + (-30 + 25p) = 6(p + -2) + -18 Reorder the terms: -30 + -16p + 25p = 6(p + -2) + -18 Combine like terms: -16p + 25p = 9p -30 + 9p = 6(p + -2) + -18 Reorder the terms: -30 + 9p = 6(-2 + p) + -18 -30 + 9p = (-2 * 6 + p * 6) + -18 -30 + 9p = (-12 + 6p) + -18 Reorder the terms: -30 + 9p = -12 + -18 + 6p Combine like terms: -12 + -18 = -30 -30 + 9p = -30 + 6p Add '30' to each side of the equation. -30 + 30 + 9p = -30 + 30 + 6p Combine like terms: -30 + 30 = 0 0 + 9p = -30 + 30 + 6p 9p = -30 + 30 + 6p Combine like terms: -30 + 30 = 0 9p = 0 + 6p 9p = 6p Solving 9p = 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 9p + -6p = 6p + -6p Combine like terms: 9p + -6p = 3p 3p = 6p + -6p Combine like terms: 6p + -6p = 0 3p = 0 Divide each side by '3'. p = 0 Simplifying p = 0
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