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Simplifying 6s + -11 = 12 + 10(s + 10) Reorder the terms: -11 + 6s = 12 + 10(s + 10) Reorder the terms: -11 + 6s = 12 + 10(10 + s) -11 + 6s = 12 + (10 * 10 + s * 10) -11 + 6s = 12 + (100 + 10s) Combine like terms: 12 + 100 = 112 -11 + 6s = 112 + 10s Solving -11 + 6s = 112 + 10s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-10s' to each side of the equation. -11 + 6s + -10s = 112 + 10s + -10s Combine like terms: 6s + -10s = -4s -11 + -4s = 112 + 10s + -10s Combine like terms: 10s + -10s = 0 -11 + -4s = 112 + 0 -11 + -4s = 112 Add '11' to each side of the equation. -11 + 11 + -4s = 112 + 11 Combine like terms: -11 + 11 = 0 0 + -4s = 112 + 11 -4s = 112 + 11 Combine like terms: 112 + 11 = 123 -4s = 123 Divide each side by '-4'. s = -30.75 Simplifying s = -30.75
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