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Simplifying 3s + 12 + a = -10 + 6s + -8 Reorder the terms: 12 + a + 3s = -10 + 6s + -8 Reorder the terms: 12 + a + 3s = -10 + -8 + 6s Combine like terms: -10 + -8 = -18 12 + a + 3s = -18 + 6s Solving 12 + a + 3s = -18 + 6s Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + a + -12 + 3s = -18 + -12 + 6s Reorder the terms: 12 + -12 + a + 3s = -18 + -12 + 6s Combine like terms: 12 + -12 = 0 0 + a + 3s = -18 + -12 + 6s a + 3s = -18 + -12 + 6s Combine like terms: -18 + -12 = -30 a + 3s = -30 + 6s Add '-3s' to each side of the equation. a + 3s + -3s = -30 + 6s + -3s Combine like terms: 3s + -3s = 0 a + 0 = -30 + 6s + -3s a = -30 + 6s + -3s Combine like terms: 6s + -3s = 3s a = -30 + 3s Simplifying a = -30 + 3s
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