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Simplifying 16 + 7(-1s + 20) = -2(-11s + 9) Reorder the terms: 16 + 7(20 + -1s) = -2(-11s + 9) 16 + (20 * 7 + -1s * 7) = -2(-11s + 9) 16 + (140 + -7s) = -2(-11s + 9) Combine like terms: 16 + 140 = 156 156 + -7s = -2(-11s + 9) Reorder the terms: 156 + -7s = -2(9 + -11s) 156 + -7s = (9 * -2 + -11s * -2) 156 + -7s = (-18 + 22s) Solving 156 + -7s = -18 + 22s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-22s' to each side of the equation. 156 + -7s + -22s = -18 + 22s + -22s Combine like terms: -7s + -22s = -29s 156 + -29s = -18 + 22s + -22s Combine like terms: 22s + -22s = 0 156 + -29s = -18 + 0 156 + -29s = -18 Add '-156' to each side of the equation. 156 + -156 + -29s = -18 + -156 Combine like terms: 156 + -156 = 0 0 + -29s = -18 + -156 -29s = -18 + -156 Combine like terms: -18 + -156 = -174 -29s = -174 Divide each side by '-29'. s = 6 Simplifying s = 6
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