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Simplifying 7s + -10 = 11 + 6(s + 12) Reorder the terms: -10 + 7s = 11 + 6(s + 12) Reorder the terms: -10 + 7s = 11 + 6(12 + s) -10 + 7s = 11 + (12 * 6 + s * 6) -10 + 7s = 11 + (72 + 6s) Combine like terms: 11 + 72 = 83 -10 + 7s = 83 + 6s Solving -10 + 7s = 83 + 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. -10 + 7s + -6s = 83 + 6s + -6s Combine like terms: 7s + -6s = 1s -10 + 1s = 83 + 6s + -6s Combine like terms: 6s + -6s = 0 -10 + 1s = 83 + 0 -10 + 1s = 83 Add '10' to each side of the equation. -10 + 10 + 1s = 83 + 10 Combine like terms: -10 + 10 = 0 0 + 1s = 83 + 10 1s = 83 + 10 Combine like terms: 83 + 10 = 93 1s = 93 Divide each side by '1'. s = 93 Simplifying s = 93
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