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Simplifying 7(a + 7b) + 8(c2 + f) = 0 (a * 7 + 7b * 7) + 8(c2 + f) = 0 (7a + 49b) + 8(c2 + f) = 0 7a + 49b + (c2 * 8 + f * 8) = 0 7a + 49b + (8c2 + 8f) = 0 Solving 7a + 49b + 8c2 + 8f = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49b' to each side of the equation. 7a + 49b + 8c2 + -49b + 8f = 0 + -49b Reorder the terms: 7a + 49b + -49b + 8c2 + 8f = 0 + -49b Combine like terms: 49b + -49b = 0 7a + 0 + 8c2 + 8f = 0 + -49b 7a + 8c2 + 8f = 0 + -49b Remove the zero: 7a + 8c2 + 8f = -49b Add '-8c2' to each side of the equation. 7a + 8c2 + -8c2 + 8f = -49b + -8c2 Combine like terms: 8c2 + -8c2 = 0 7a + 0 + 8f = -49b + -8c2 7a + 8f = -49b + -8c2 Add '-8f' to each side of the equation. 7a + 8f + -8f = -49b + -8c2 + -8f Combine like terms: 8f + -8f = 0 7a + 0 = -49b + -8c2 + -8f 7a = -49b + -8c2 + -8f Divide each side by '7'. a = -7b + -1.142857143c2 + -1.142857143f Simplifying a = -7b + -1.142857143c2 + -1.142857143f
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