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Simplifying 3(s + 7) + -1(s + 1) = 22s Reorder the terms: 3(7 + s) + -1(s + 1) = 22s (7 * 3 + s * 3) + -1(s + 1) = 22s (21 + 3s) + -1(s + 1) = 22s Reorder the terms: 21 + 3s + -1(1 + s) = 22s 21 + 3s + (1 * -1 + s * -1) = 22s 21 + 3s + (-1 + -1s) = 22s Reorder the terms: 21 + -1 + 3s + -1s = 22s Combine like terms: 21 + -1 = 20 20 + 3s + -1s = 22s Combine like terms: 3s + -1s = 2s 20 + 2s = 22s Solving 20 + 2s = 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. 20 + 2s + -22s = 22s + -22s Combine like terms: 2s + -22s = -20s 20 + -20s = 22s + -22s Combine like terms: 22s + -22s = 0 20 + -20s = 0 Add '-20' to each side of the equation. 20 + -20 + -20s = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -20s = 0 + -20 -20s = 0 + -20 Combine like terms: 0 + -20 = -20 -20s = -20 Divide each side by '-20'. s = 1 Simplifying s = 1
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