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Simplifying 8 + 4a + 2b + -1 = 7 Reorder the terms: 8 + -1 + 4a + 2b = 7 Combine like terms: 8 + -1 = 7 7 + 4a + 2b = 7 Add '-7' to each side of the equation. 7 + 4a + -7 + 2b = 7 + -7 Reorder the terms: 7 + -7 + 4a + 2b = 7 + -7 Combine like terms: 7 + -7 = 0 0 + 4a + 2b = 7 + -7 4a + 2b = 7 + -7 Combine like terms: 7 + -7 = 0 4a + 2b = 0 Solving 4a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 4a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 4a + 0 = 0 + -2b 4a = 0 + -2b Remove the zero: 4a = -2b Divide each side by '4'. a = -0.5b Simplifying a = -0.5b
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