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Simplifying 7(s + 8) = 21(s + -14) Reorder the terms: 7(8 + s) = 21(s + -14) (8 * 7 + s * 7) = 21(s + -14) (56 + 7s) = 21(s + -14) Reorder the terms: 56 + 7s = 21(-14 + s) 56 + 7s = (-14 * 21 + s * 21) 56 + 7s = (-294 + 21s) Solving 56 + 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. 56 + 7s + -21s = -294 + 21s + -21s Combine like terms: 7s + -21s = -14s 56 + -14s = -294 + 21s + -21s Combine like terms: 21s + -21s = 0 56 + -14s = -294 + 0 56 + -14s = -294 Add '-56' to each side of the equation. 56 + -56 + -14s = -294 + -56 Combine like terms: 56 + -56 = 0 0 + -14s = -294 + -56 -14s = -294 + -56 Combine like terms: -294 + -56 = -350 -14s = -350 Divide each side by '-14'. s = 25 Simplifying s = 25
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