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Simplifying 2(3s + 14) + 11 = 3(s + 9) Reorder the terms: 2(14 + 3s) + 11 = 3(s + 9) (14 * 2 + 3s * 2) + 11 = 3(s + 9) (28 + 6s) + 11 = 3(s + 9) Reorder the terms: 28 + 11 + 6s = 3(s + 9) Combine like terms: 28 + 11 = 39 39 + 6s = 3(s + 9) Reorder the terms: 39 + 6s = 3(9 + s) 39 + 6s = (9 * 3 + s * 3) 39 + 6s = (27 + 3s) Solving 39 + 6s = 27 + 3s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3s' to each side of the equation. 39 + 6s + -3s = 27 + 3s + -3s Combine like terms: 6s + -3s = 3s 39 + 3s = 27 + 3s + -3s Combine like terms: 3s + -3s = 0 39 + 3s = 27 + 0 39 + 3s = 27 Add '-39' to each side of the equation. 39 + -39 + 3s = 27 + -39 Combine like terms: 39 + -39 = 0 0 + 3s = 27 + -39 3s = 27 + -39 Combine like terms: 27 + -39 = -12 3s = -12 Divide each side by '3'. s = -4 Simplifying s = -4
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