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Simplifying 4(2s + 1) + -5 = 6s + 1 Reorder the terms: 4(1 + 2s) + -5 = 6s + 1 (1 * 4 + 2s * 4) + -5 = 6s + 1 (4 + 8s) + -5 = 6s + 1 Reorder the terms: 4 + -5 + 8s = 6s + 1 Combine like terms: 4 + -5 = -1 -1 + 8s = 6s + 1 Reorder the terms: -1 + 8s = 1 + 6s Solving -1 + 8s = 1 + 6s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6s' to each side of the equation. -1 + 8s + -6s = 1 + 6s + -6s Combine like terms: 8s + -6s = 2s -1 + 2s = 1 + 6s + -6s Combine like terms: 6s + -6s = 0 -1 + 2s = 1 + 0 -1 + 2s = 1 Add '1' to each side of the equation. -1 + 1 + 2s = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 2s = 1 + 1 2s = 1 + 1 Combine like terms: 1 + 1 = 2 2s = 2 Divide each side by '2'. s = 1 Simplifying s = 1
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