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Simplifying 7(8a + 8b) + -3(a + 5b) = 0 (8a * 7 + 8b * 7) + -3(a + 5b) = 0 (56a + 56b) + -3(a + 5b) = 0 56a + 56b + (a * -3 + 5b * -3) = 0 56a + 56b + (-3a + -15b) = 0 Reorder the terms: 56a + -3a + 56b + -15b = 0 Combine like terms: 56a + -3a = 53a 53a + 56b + -15b = 0 Combine like terms: 56b + -15b = 41b 53a + 41b = 0 Solving 53a + 41b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-41b' to each side of the equation. 53a + 41b + -41b = 0 + -41b Combine like terms: 41b + -41b = 0 53a + 0 = 0 + -41b 53a = 0 + -41b Remove the zero: 53a = -41b Divide each side by '53'. a = -0.7735849057b Simplifying a = -0.7735849057b
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