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Simplifying 46s + 90 = 6s + 6s + 10(9 + 4s) Reorder the terms: 90 + 46s = 6s + 6s + 10(9 + 4s) 90 + 46s = 6s + 6s + (9 * 10 + 4s * 10) 90 + 46s = 6s + 6s + (90 + 40s) Reorder the terms: 90 + 46s = 90 + 6s + 6s + 40s Combine like terms: 6s + 6s = 12s 90 + 46s = 90 + 12s + 40s Combine like terms: 12s + 40s = 52s 90 + 46s = 90 + 52s Add '-90' to each side of the equation. 90 + -90 + 46s = 90 + -90 + 52s Combine like terms: 90 + -90 = 0 0 + 46s = 90 + -90 + 52s 46s = 90 + -90 + 52s Combine like terms: 90 + -90 = 0 46s = 0 + 52s 46s = 52s Solving 46s = 52s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-52s' to each side of the equation. 46s + -52s = 52s + -52s Combine like terms: 46s + -52s = -6s -6s = 52s + -52s Combine like terms: 52s + -52s = 0 -6s = 0 Divide each side by '-6'. s = 0 Simplifying s = 0
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