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Simplifying (8s + -6) + -1(2s + 22) = 4s + -28 Reorder the terms: (-6 + 8s) + -1(2s + 22) = 4s + -28 Remove parenthesis around (-6 + 8s) -6 + 8s + -1(2s + 22) = 4s + -28 Reorder the terms: -6 + 8s + -1(22 + 2s) = 4s + -28 -6 + 8s + (22 * -1 + 2s * -1) = 4s + -28 -6 + 8s + (-22 + -2s) = 4s + -28 Reorder the terms: -6 + -22 + 8s + -2s = 4s + -28 Combine like terms: -6 + -22 = -28 -28 + 8s + -2s = 4s + -28 Combine like terms: 8s + -2s = 6s -28 + 6s = 4s + -28 Reorder the terms: -28 + 6s = -28 + 4s Add '28' to each side of the equation. -28 + 28 + 6s = -28 + 28 + 4s Combine like terms: -28 + 28 = 0 0 + 6s = -28 + 28 + 4s 6s = -28 + 28 + 4s Combine like terms: -28 + 28 = 0 6s = 0 + 4s 6s = 4s Solving 6s = 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. 6s + -4s = 4s + -4s Combine like terms: 6s + -4s = 2s 2s = 4s + -4s Combine like terms: 4s + -4s = 0 2s = 0 Divide each side by '2'. s = 0 Simplifying s = 0
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