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Simplifying 8(7 + 4a) + -3(5 + 2b) = 0 (7 * 8 + 4a * 8) + -3(5 + 2b) = 0 (56 + 32a) + -3(5 + 2b) = 0 56 + 32a + (5 * -3 + 2b * -3) = 0 56 + 32a + (-15 + -6b) = 0 Reorder the terms: 56 + -15 + 32a + -6b = 0 Combine like terms: 56 + -15 = 41 41 + 32a + -6b = 0 Solving 41 + 32a + -6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + 32a + -41 + -6b = 0 + -41 Reorder the terms: 41 + -41 + 32a + -6b = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 32a + -6b = 0 + -41 32a + -6b = 0 + -41 Combine like terms: 0 + -41 = -41 32a + -6b = -41 Add '6b' to each side of the equation. 32a + -6b + 6b = -41 + 6b Combine like terms: -6b + 6b = 0 32a + 0 = -41 + 6b 32a = -41 + 6b Divide each side by '32'. a = -1.28125 + 0.1875b Simplifying a = -1.28125 + 0.1875b
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