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Simplifying 6(s + -3) = 10 + -2(s + 2) Reorder the terms: 6(-3 + s) = 10 + -2(s + 2) (-3 * 6 + s * 6) = 10 + -2(s + 2) (-18 + 6s) = 10 + -2(s + 2) Reorder the terms: -18 + 6s = 10 + -2(2 + s) -18 + 6s = 10 + (2 * -2 + s * -2) -18 + 6s = 10 + (-4 + -2s) Combine like terms: 10 + -4 = 6 -18 + 6s = 6 + -2s Solving -18 + 6s = 6 + -2s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '2s' to each side of the equation. -18 + 6s + 2s = 6 + -2s + 2s Combine like terms: 6s + 2s = 8s -18 + 8s = 6 + -2s + 2s Combine like terms: -2s + 2s = 0 -18 + 8s = 6 + 0 -18 + 8s = 6 Add '18' to each side of the equation. -18 + 18 + 8s = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 8s = 6 + 18 8s = 6 + 18 Combine like terms: 6 + 18 = 24 8s = 24 Divide each side by '8'. s = 3 Simplifying s = 3
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