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Simplifying 6(s + 1) + s + 2 = 8(s + -3) + 5 Reorder the terms: 6(1 + s) + s + 2 = 8(s + -3) + 5 (1 * 6 + s * 6) + s + 2 = 8(s + -3) + 5 (6 + 6s) + s + 2 = 8(s + -3) + 5 Reorder the terms: 6 + 2 + 6s + s = 8(s + -3) + 5 Combine like terms: 6 + 2 = 8 8 + 6s + s = 8(s + -3) + 5 Combine like terms: 6s + s = 7s 8 + 7s = 8(s + -3) + 5 Reorder the terms: 8 + 7s = 8(-3 + s) + 5 8 + 7s = (-3 * 8 + s * 8) + 5 8 + 7s = (-24 + 8s) + 5 Reorder the terms: 8 + 7s = -24 + 5 + 8s Combine like terms: -24 + 5 = -19 8 + 7s = -19 + 8s Solving 8 + 7s = -19 + 8s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-8s' to each side of the equation. 8 + 7s + -8s = -19 + 8s + -8s Combine like terms: 7s + -8s = -1s 8 + -1s = -19 + 8s + -8s Combine like terms: 8s + -8s = 0 8 + -1s = -19 + 0 8 + -1s = -19 Add '-8' to each side of the equation. 8 + -8 + -1s = -19 + -8 Combine like terms: 8 + -8 = 0 0 + -1s = -19 + -8 -1s = -19 + -8 Combine like terms: -19 + -8 = -27 -1s = -27 Divide each side by '-1'. s = 27 Simplifying s = 27
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