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Simplifying (7a + -3b) * 7 = 0 Reorder the terms for easier multiplication: 7(7a + -3b) = 0 (7a * 7 + -3b * 7) = 0 (49a + -21b) = 0 Solving 49a + -21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21b' to each side of the equation. 49a + -21b + 21b = 0 + 21b Combine like terms: -21b + 21b = 0 49a + 0 = 0 + 21b 49a = 0 + 21b Remove the zero: 49a = 21b Divide each side by '49'. a = 0.4285714286b Simplifying a = 0.4285714286b
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