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Simplifying 3(5s + -6) + -18 = -2(9s + 10) + -3 Reorder the terms: 3(-6 + 5s) + -18 = -2(9s + 10) + -3 (-6 * 3 + 5s * 3) + -18 = -2(9s + 10) + -3 (-18 + 15s) + -18 = -2(9s + 10) + -3 Reorder the terms: -18 + -18 + 15s = -2(9s + 10) + -3 Combine like terms: -18 + -18 = -36 -36 + 15s = -2(9s + 10) + -3 Reorder the terms: -36 + 15s = -2(10 + 9s) + -3 -36 + 15s = (10 * -2 + 9s * -2) + -3 -36 + 15s = (-20 + -18s) + -3 Reorder the terms: -36 + 15s = -20 + -3 + -18s Combine like terms: -20 + -3 = -23 -36 + 15s = -23 + -18s Solving -36 + 15s = -23 + -18s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '18s' to each side of the equation. -36 + 15s + 18s = -23 + -18s + 18s Combine like terms: 15s + 18s = 33s -36 + 33s = -23 + -18s + 18s Combine like terms: -18s + 18s = 0 -36 + 33s = -23 + 0 -36 + 33s = -23 Add '36' to each side of the equation. -36 + 36 + 33s = -23 + 36 Combine like terms: -36 + 36 = 0 0 + 33s = -23 + 36 33s = -23 + 36 Combine like terms: -23 + 36 = 13 33s = 13 Divide each side by '33'. s = 0.3939393939 Simplifying s = 0.3939393939
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