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Simplifying 3(4s + -7) + 7s + 2(8s + 2) = 22 + -4s Reorder the terms: 3(-7 + 4s) + 7s + 2(8s + 2) = 22 + -4s (-7 * 3 + 4s * 3) + 7s + 2(8s + 2) = 22 + -4s (-21 + 12s) + 7s + 2(8s + 2) = 22 + -4s Reorder the terms: -21 + 12s + 7s + 2(2 + 8s) = 22 + -4s -21 + 12s + 7s + (2 * 2 + 8s * 2) = 22 + -4s -21 + 12s + 7s + (4 + 16s) = 22 + -4s Reorder the terms: -21 + 4 + 12s + 7s + 16s = 22 + -4s Combine like terms: -21 + 4 = -17 -17 + 12s + 7s + 16s = 22 + -4s Combine like terms: 12s + 7s = 19s -17 + 19s + 16s = 22 + -4s Combine like terms: 19s + 16s = 35s -17 + 35s = 22 + -4s Solving -17 + 35s = 22 + -4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '4s' to each side of the equation. -17 + 35s + 4s = 22 + -4s + 4s Combine like terms: 35s + 4s = 39s -17 + 39s = 22 + -4s + 4s Combine like terms: -4s + 4s = 0 -17 + 39s = 22 + 0 -17 + 39s = 22 Add '17' to each side of the equation. -17 + 17 + 39s = 22 + 17 Combine like terms: -17 + 17 = 0 0 + 39s = 22 + 17 39s = 22 + 17 Combine like terms: 22 + 17 = 39 39s = 39 Divide each side by '39'. s = 1 Simplifying s = 1
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