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Simplifying 7a + 5 + 2s + -2 = 4a + 3 + -5a Reorder the terms: 5 + -2 + 7a + 2s = 4a + 3 + -5a Combine like terms: 5 + -2 = 3 3 + 7a + 2s = 4a + 3 + -5a Reorder the terms: 3 + 7a + 2s = 3 + 4a + -5a Combine like terms: 4a + -5a = -1a 3 + 7a + 2s = 3 + -1a Add '-3' to each side of the equation. 3 + 7a + -3 + 2s = 3 + -3 + -1a Reorder the terms: 3 + -3 + 7a + 2s = 3 + -3 + -1a Combine like terms: 3 + -3 = 0 0 + 7a + 2s = 3 + -3 + -1a 7a + 2s = 3 + -3 + -1a Combine like terms: 3 + -3 = 0 7a + 2s = 0 + -1a 7a + 2s = -1a Solving 7a + 2s = -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 7a + a + 2s = -1a + a Combine like terms: 7a + a = 8a 8a + 2s = -1a + a Combine like terms: -1a + a = 0 8a + 2s = 0 Add '-2s' to each side of the equation. 8a + 2s + -2s = 0 + -2s Combine like terms: 2s + -2s = 0 8a + 0 = 0 + -2s 8a = 0 + -2s Remove the zero: 8a = -2s Divide each side by '8'. a = -0.25s Simplifying a = -0.25s
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