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Simplifying 6(s + -2) = 5(s + 10) Reorder the terms: 6(-2 + s) = 5(s + 10) (-2 * 6 + s * 6) = 5(s + 10) (-12 + 6s) = 5(s + 10) Reorder the terms: -12 + 6s = 5(10 + s) -12 + 6s = (10 * 5 + s * 5) -12 + 6s = (50 + 5s) Solving -12 + 6s = 50 + 5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5s' to each side of the equation. -12 + 6s + -5s = 50 + 5s + -5s Combine like terms: 6s + -5s = 1s -12 + 1s = 50 + 5s + -5s Combine like terms: 5s + -5s = 0 -12 + 1s = 50 + 0 -12 + 1s = 50 Add '12' to each side of the equation. -12 + 12 + 1s = 50 + 12 Combine like terms: -12 + 12 = 0 0 + 1s = 50 + 12 1s = 50 + 12 Combine like terms: 50 + 12 = 62 1s = 62 Divide each side by '1'. s = 62 Simplifying s = 62
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