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Simplifying 2a + -6 + 5s = 3a + 10 Reorder the terms: -6 + 2a + 5s = 3a + 10 Reorder the terms: -6 + 2a + 5s = 10 + 3a Solving -6 + 2a + 5s = 10 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -6 + 2a + -3a + 5s = 10 + 3a + -3a Combine like terms: 2a + -3a = -1a -6 + -1a + 5s = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 -6 + -1a + 5s = 10 + 0 -6 + -1a + 5s = 10 Add '6' to each side of the equation. -6 + -1a + 6 + 5s = 10 + 6 Reorder the terms: -6 + 6 + -1a + 5s = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -1a + 5s = 10 + 6 -1a + 5s = 10 + 6 Combine like terms: 10 + 6 = 16 -1a + 5s = 16 Add '-5s' to each side of the equation. -1a + 5s + -5s = 16 + -5s Combine like terms: 5s + -5s = 0 -1a + 0 = 16 + -5s -1a = 16 + -5s Divide each side by '-1'. a = -16 + 5s Simplifying a = -16 + 5s
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