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Simplifying 12(6s + 12) = 13(-12s + -21) Reorder the terms: 12(12 + 6s) = 13(-12s + -21) (12 * 12 + 6s * 12) = 13(-12s + -21) (144 + 72s) = 13(-12s + -21) Reorder the terms: 144 + 72s = 13(-21 + -12s) 144 + 72s = (-21 * 13 + -12s * 13) 144 + 72s = (-273 + -156s) Solving 144 + 72s = -273 + -156s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '156s' to each side of the equation. 144 + 72s + 156s = -273 + -156s + 156s Combine like terms: 72s + 156s = 228s 144 + 228s = -273 + -156s + 156s Combine like terms: -156s + 156s = 0 144 + 228s = -273 + 0 144 + 228s = -273 Add '-144' to each side of the equation. 144 + -144 + 228s = -273 + -144 Combine like terms: 144 + -144 = 0 0 + 228s = -273 + -144 228s = -273 + -144 Combine like terms: -273 + -144 = -417 228s = -417 Divide each side by '228'. s = -1.828947368 Simplifying s = -1.828947368
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