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Simplifying 2(s + 6) + 2(s + -1) + -4 = 74 Reorder the terms: 2(6 + s) + 2(s + -1) + -4 = 74 (6 * 2 + s * 2) + 2(s + -1) + -4 = 74 (12 + 2s) + 2(s + -1) + -4 = 74 Reorder the terms: 12 + 2s + 2(-1 + s) + -4 = 74 12 + 2s + (-1 * 2 + s * 2) + -4 = 74 12 + 2s + (-2 + 2s) + -4 = 74 Reorder the terms: 12 + -2 + -4 + 2s + 2s = 74 Combine like terms: 12 + -2 = 10 10 + -4 + 2s + 2s = 74 Combine like terms: 10 + -4 = 6 6 + 2s + 2s = 74 Combine like terms: 2s + 2s = 4s 6 + 4s = 74 Solving 6 + 4s = 74 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4s = 74 + -6 Combine like terms: 6 + -6 = 0 0 + 4s = 74 + -6 4s = 74 + -6 Combine like terms: 74 + -6 = 68 4s = 68 Divide each side by '4'. s = 17 Simplifying s = 17
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