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Simplifying 40(s + 3) + -10 = 30(2s + 1) + 50 Reorder the terms: 40(3 + s) + -10 = 30(2s + 1) + 50 (3 * 40 + s * 40) + -10 = 30(2s + 1) + 50 (120 + 40s) + -10 = 30(2s + 1) + 50 Reorder the terms: 120 + -10 + 40s = 30(2s + 1) + 50 Combine like terms: 120 + -10 = 110 110 + 40s = 30(2s + 1) + 50 Reorder the terms: 110 + 40s = 30(1 + 2s) + 50 110 + 40s = (1 * 30 + 2s * 30) + 50 110 + 40s = (30 + 60s) + 50 Reorder the terms: 110 + 40s = 30 + 50 + 60s Combine like terms: 30 + 50 = 80 110 + 40s = 80 + 60s Solving 110 + 40s = 80 + 60s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-60s' to each side of the equation. 110 + 40s + -60s = 80 + 60s + -60s Combine like terms: 40s + -60s = -20s 110 + -20s = 80 + 60s + -60s Combine like terms: 60s + -60s = 0 110 + -20s = 80 + 0 110 + -20s = 80 Add '-110' to each side of the equation. 110 + -110 + -20s = 80 + -110 Combine like terms: 110 + -110 = 0 0 + -20s = 80 + -110 -20s = 80 + -110 Combine like terms: 80 + -110 = -30 -20s = -30 Divide each side by '-20'. s = 1.5 Simplifying s = 1.5
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