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Simplifying 5(s + 6) = 3(s + -2) Reorder the terms: 5(6 + s) = 3(s + -2) (6 * 5 + s * 5) = 3(s + -2) (30 + 5s) = 3(s + -2) Reorder the terms: 30 + 5s = 3(-2 + s) 30 + 5s = (-2 * 3 + s * 3) 30 + 5s = (-6 + 3s) Solving 30 + 5s = -6 + 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. 30 + 5s + -3s = -6 + 3s + -3s Combine like terms: 5s + -3s = 2s 30 + 2s = -6 + 3s + -3s Combine like terms: 3s + -3s = 0 30 + 2s = -6 + 0 30 + 2s = -6 Add '-30' to each side of the equation. 30 + -30 + 2s = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 2s = -6 + -30 2s = -6 + -30 Combine like terms: -6 + -30 = -36 2s = -36 Divide each side by '2'. s = -18 Simplifying s = -18
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