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Simplifying 7(s + 18) = 21(s + -14) Reorder the terms: 7(18 + s) = 21(s + -14) (18 * 7 + s * 7) = 21(s + -14) (126 + 7s) = 21(s + -14) Reorder the terms: 126 + 7s = 21(-14 + s) 126 + 7s = (-14 * 21 + s * 21) 126 + 7s = (-294 + 21s) Solving 126 + 7s = -294 + 21s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-21s' to each side of the equation. 126 + 7s + -21s = -294 + 21s + -21s Combine like terms: 7s + -21s = -14s 126 + -14s = -294 + 21s + -21s Combine like terms: 21s + -21s = 0 126 + -14s = -294 + 0 126 + -14s = -294 Add '-126' to each side of the equation. 126 + -126 + -14s = -294 + -126 Combine like terms: 126 + -126 = 0 0 + -14s = -294 + -126 -14s = -294 + -126 Combine like terms: -294 + -126 = -420 -14s = -420 Divide each side by '-14'. s = 30 Simplifying s = 30
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