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Simplifying a + 7 + 3b + 3a + -2b = 0 Reorder the terms: 7 + a + 3a + 3b + -2b = 0 Combine like terms: a + 3a = 4a 7 + 4a + 3b + -2b = 0 Combine like terms: 3b + -2b = 1b 7 + 4a + 1b = 0 Solving 7 + 4a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 4a + -7 + 1b = 0 + -7 Reorder the terms: 7 + -7 + 4a + 1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4a + 1b = 0 + -7 4a + 1b = 0 + -7 Combine like terms: 0 + -7 = -7 4a + 1b = -7 Add '-1b' to each side of the equation. 4a + 1b + -1b = -7 + -1b Combine like terms: 1b + -1b = 0 4a + 0 = -7 + -1b 4a = -7 + -1b Divide each side by '4'. a = -1.75 + -0.25b Simplifying a = -1.75 + -0.25b
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