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Simplifying 2(s + -18) + -4 = 6(2s + 1) + -14 + 6s Reorder the terms: 2(-18 + s) + -4 = 6(2s + 1) + -14 + 6s (-18 * 2 + s * 2) + -4 = 6(2s + 1) + -14 + 6s (-36 + 2s) + -4 = 6(2s + 1) + -14 + 6s Reorder the terms: -36 + -4 + 2s = 6(2s + 1) + -14 + 6s Combine like terms: -36 + -4 = -40 -40 + 2s = 6(2s + 1) + -14 + 6s Reorder the terms: -40 + 2s = 6(1 + 2s) + -14 + 6s -40 + 2s = (1 * 6 + 2s * 6) + -14 + 6s -40 + 2s = (6 + 12s) + -14 + 6s Reorder the terms: -40 + 2s = 6 + -14 + 12s + 6s Combine like terms: 6 + -14 = -8 -40 + 2s = -8 + 12s + 6s Combine like terms: 12s + 6s = 18s -40 + 2s = -8 + 18s Solving -40 + 2s = -8 + 18s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-18s' to each side of the equation. -40 + 2s + -18s = -8 + 18s + -18s Combine like terms: 2s + -18s = -16s -40 + -16s = -8 + 18s + -18s Combine like terms: 18s + -18s = 0 -40 + -16s = -8 + 0 -40 + -16s = -8 Add '40' to each side of the equation. -40 + 40 + -16s = -8 + 40 Combine like terms: -40 + 40 = 0 0 + -16s = -8 + 40 -16s = -8 + 40 Combine like terms: -8 + 40 = 32 -16s = 32 Divide each side by '-16'. s = -2 Simplifying s = -2
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