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Simplifying (4a + -7b)(10) = 0 Reorder the terms for easier multiplication: 10(4a + -7b) = 0 (4a * 10 + -7b * 10) = 0 (40a + -70b) = 0 Solving 40a + -70b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '70b' to each side of the equation. 40a + -70b + 70b = 0 + 70b Combine like terms: -70b + 70b = 0 40a + 0 = 0 + 70b 40a = 0 + 70b Remove the zero: 40a = 70b Divide each side by '40'. a = 1.75b Simplifying a = 1.75b
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