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Simplifying 14s + -1(2s + 6) = 8(2s + 1) + -18 Reorder the terms: 14s + -1(6 + 2s) = 8(2s + 1) + -18 14s + (6 * -1 + 2s * -1) = 8(2s + 1) + -18 14s + (-6 + -2s) = 8(2s + 1) + -18 Reorder the terms: -6 + 14s + -2s = 8(2s + 1) + -18 Combine like terms: 14s + -2s = 12s -6 + 12s = 8(2s + 1) + -18 Reorder the terms: -6 + 12s = 8(1 + 2s) + -18 -6 + 12s = (1 * 8 + 2s * 8) + -18 -6 + 12s = (8 + 16s) + -18 Reorder the terms: -6 + 12s = 8 + -18 + 16s Combine like terms: 8 + -18 = -10 -6 + 12s = -10 + 16s Solving -6 + 12s = -10 + 16s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-16s' to each side of the equation. -6 + 12s + -16s = -10 + 16s + -16s Combine like terms: 12s + -16s = -4s -6 + -4s = -10 + 16s + -16s Combine like terms: 16s + -16s = 0 -6 + -4s = -10 + 0 -6 + -4s = -10 Add '6' to each side of the equation. -6 + 6 + -4s = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -4s = -10 + 6 -4s = -10 + 6 Combine like terms: -10 + 6 = -4 -4s = -4 Divide each side by '-4'. s = 1 Simplifying s = 1
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