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Simplifying -1(-74 + -6s) + -1(3s + 7) = 52 (-74 * -1 + -6s * -1) + -1(3s + 7) = 52 (74 + 6s) + -1(3s + 7) = 52 Reorder the terms: 74 + 6s + -1(7 + 3s) = 52 74 + 6s + (7 * -1 + 3s * -1) = 52 74 + 6s + (-7 + -3s) = 52 Reorder the terms: 74 + -7 + 6s + -3s = 52 Combine like terms: 74 + -7 = 67 67 + 6s + -3s = 52 Combine like terms: 6s + -3s = 3s 67 + 3s = 52 Solving 67 + 3s = 52 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + 3s = 52 + -67 Combine like terms: 67 + -67 = 0 0 + 3s = 52 + -67 3s = 52 + -67 Combine like terms: 52 + -67 = -15 3s = -15 Divide each side by '3'. s = -5 Simplifying s = -5
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