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Simplifying -1(15 + -1s) + -1(6s + 1) = 38 (15 * -1 + -1s * -1) + -1(6s + 1) = 38 (-15 + 1s) + -1(6s + 1) = 38 Reorder the terms: -15 + 1s + -1(1 + 6s) = 38 -15 + 1s + (1 * -1 + 6s * -1) = 38 -15 + 1s + (-1 + -6s) = 38 Reorder the terms: -15 + -1 + 1s + -6s = 38 Combine like terms: -15 + -1 = -16 -16 + 1s + -6s = 38 Combine like terms: 1s + -6s = -5s -16 + -5s = 38 Solving -16 + -5s = 38 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -5s = 38 + 16 Combine like terms: -16 + 16 = 0 0 + -5s = 38 + 16 -5s = 38 + 16 Combine like terms: 38 + 16 = 54 -5s = 54 Divide each side by '-5'. s = -10.8 Simplifying s = -10.8
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