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Simplifying sq(z + 16) + -2 = sq(z + -4) Reorder the terms: qs(16 + z) + -2 = sq(z + -4) (16 * qs + z * qs) + -2 = sq(z + -4) (16qs + qsz) + -2 = sq(z + -4) Reorder the terms: -2 + 16qs + qsz = sq(z + -4) Reorder the terms: -2 + 16qs + qsz = qs(-4 + z) -2 + 16qs + qsz = (-4 * qs + z * qs) -2 + 16qs + qsz = (-4qs + qsz) Add '-1qsz' to each side of the equation. -2 + 16qs + qsz + -1qsz = -4qs + qsz + -1qsz Combine like terms: qsz + -1qsz = 0 -2 + 16qs + 0 = -4qs + qsz + -1qsz -2 + 16qs = -4qs + qsz + -1qsz Combine like terms: qsz + -1qsz = 0 -2 + 16qs = -4qs + 0 -2 + 16qs = -4qs Solving -2 + 16qs = -4qs Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4qs' to each side of the equation. -2 + 16qs + 4qs = -4qs + 4qs Combine like terms: 16qs + 4qs = 20qs -2 + 20qs = -4qs + 4qs Combine like terms: -4qs + 4qs = 0 -2 + 20qs = 0 Add '2' to each side of the equation. -2 + 2 + 20qs = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 20qs = 0 + 2 20qs = 0 + 2 Combine like terms: 0 + 2 = 2 20qs = 2 Divide each side by '20s'. q = 0.1s-1 Simplifying q = 0.1s-1
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