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Simplifying 6s + 2(2s + 4) = 2(s + -2) + -4 Reorder the terms: 6s + 2(4 + 2s) = 2(s + -2) + -4 6s + (4 * 2 + 2s * 2) = 2(s + -2) + -4 6s + (8 + 4s) = 2(s + -2) + -4 Reorder the terms: 8 + 6s + 4s = 2(s + -2) + -4 Combine like terms: 6s + 4s = 10s 8 + 10s = 2(s + -2) + -4 Reorder the terms: 8 + 10s = 2(-2 + s) + -4 8 + 10s = (-2 * 2 + s * 2) + -4 8 + 10s = (-4 + 2s) + -4 Reorder the terms: 8 + 10s = -4 + -4 + 2s Combine like terms: -4 + -4 = -8 8 + 10s = -8 + 2s Solving 8 + 10s = -8 + 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. 8 + 10s + -2s = -8 + 2s + -2s Combine like terms: 10s + -2s = 8s 8 + 8s = -8 + 2s + -2s Combine like terms: 2s + -2s = 0 8 + 8s = -8 + 0 8 + 8s = -8 Add '-8' to each side of the equation. 8 + -8 + 8s = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 8s = -8 + -8 8s = -8 + -8 Combine like terms: -8 + -8 = -16 8s = -16 Divide each side by '8'. s = -2 Simplifying s = -2
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