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Simplifying 9 + -7s + 19 = -6(13s + 19) Reorder the terms: 9 + 19 + -7s = -6(13s + 19) Combine like terms: 9 + 19 = 28 28 + -7s = -6(13s + 19) Reorder the terms: 28 + -7s = -6(19 + 13s) 28 + -7s = (19 * -6 + 13s * -6) 28 + -7s = (-114 + -78s) Solving 28 + -7s = -114 + -78s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '78s' to each side of the equation. 28 + -7s + 78s = -114 + -78s + 78s Combine like terms: -7s + 78s = 71s 28 + 71s = -114 + -78s + 78s Combine like terms: -78s + 78s = 0 28 + 71s = -114 + 0 28 + 71s = -114 Add '-28' to each side of the equation. 28 + -28 + 71s = -114 + -28 Combine like terms: 28 + -28 = 0 0 + 71s = -114 + -28 71s = -114 + -28 Combine like terms: -114 + -28 = -142 71s = -142 Divide each side by '71'. s = -2 Simplifying s = -2
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