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Simplifying 6(s + -4) = 3(s + 7) Reorder the terms: 6(-4 + s) = 3(s + 7) (-4 * 6 + s * 6) = 3(s + 7) (-24 + 6s) = 3(s + 7) Reorder the terms: -24 + 6s = 3(7 + s) -24 + 6s = (7 * 3 + s * 3) -24 + 6s = (21 + 3s) Solving -24 + 6s = 21 + 3s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3s' to each side of the equation. -24 + 6s + -3s = 21 + 3s + -3s Combine like terms: 6s + -3s = 3s -24 + 3s = 21 + 3s + -3s Combine like terms: 3s + -3s = 0 -24 + 3s = 21 + 0 -24 + 3s = 21 Add '24' to each side of the equation. -24 + 24 + 3s = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 3s = 21 + 24 3s = 21 + 24 Combine like terms: 21 + 24 = 45 3s = 45 Divide each side by '3'. s = 15 Simplifying s = 15
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