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Simplifying 3(2s + 4) = 5(s + -10) Reorder the terms: 3(4 + 2s) = 5(s + -10) (4 * 3 + 2s * 3) = 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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