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Simplifying -1(-55 + -6s) + -1(7s + 5) = 52 (-55 * -1 + -6s * -1) + -1(7s + 5) = 52 (55 + 6s) + -1(7s + 5) = 52 Reorder the terms: 55 + 6s + -1(5 + 7s) = 52 55 + 6s + (5 * -1 + 7s * -1) = 52 55 + 6s + (-5 + -7s) = 52 Reorder the terms: 55 + -5 + 6s + -7s = 52 Combine like terms: 55 + -5 = 50 50 + 6s + -7s = 52 Combine like terms: 6s + -7s = -1s 50 + -1s = 52 Solving 50 + -1s = 52 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1s = 52 + -50 Combine like terms: 50 + -50 = 0 0 + -1s = 52 + -50 -1s = 52 + -50 Combine like terms: 52 + -50 = 2 -1s = 2 Divide each side by '-1'. s = -2 Simplifying s = -2
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