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Simplifying -7 = 0.5(12s + -2) + -2s Reorder the terms: -7 = 0.5(-2 + 12s) + -2s -7 = (-2 * 0.5 + 12s * 0.5) + -2s -7 = (-1 + 6s) + -2s Combine like terms: 6s + -2s = 4s -7 = -1 + 4s Solving -7 = -1 + 4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4s' to each side of the equation. -7 + -4s = -1 + 4s + -4s Combine like terms: 4s + -4s = 0 -7 + -4s = -1 + 0 -7 + -4s = -1 Add '7' to each side of the equation. -7 + 7 + -4s = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -4s = -1 + 7 -4s = -1 + 7 Combine like terms: -1 + 7 = 6 -4s = 6 Divide each side by '-4'. s = -1.5 Simplifying s = -1.5
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