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Simplifying -7a + 3(a + -1b) + 5b = 0 -7a + (a * 3 + -1b * 3) + 5b = 0 -7a + (3a + -3b) + 5b = 0 Combine like terms: -7a + 3a = -4a -4a + -3b + 5b = 0 Combine like terms: -3b + 5b = 2b -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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