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Simplifying (78a + 5b + -4) + -1(30a + 26b + -7) = 0 Reorder the terms: (-4 + 78a + 5b) + -1(30a + 26b + -7) = 0 Remove parenthesis around (-4 + 78a + 5b) -4 + 78a + 5b + -1(30a + 26b + -7) = 0 Reorder the terms: -4 + 78a + 5b + -1(-7 + 30a + 26b) = 0 -4 + 78a + 5b + (-7 * -1 + 30a * -1 + 26b * -1) = 0 -4 + 78a + 5b + (7 + -30a + -26b) = 0 Reorder the terms: -4 + 7 + 78a + -30a + 5b + -26b = 0 Combine like terms: -4 + 7 = 3 3 + 78a + -30a + 5b + -26b = 0 Combine like terms: 78a + -30a = 48a 3 + 48a + 5b + -26b = 0 Combine like terms: 5b + -26b = -21b 3 + 48a + -21b = 0 Solving 3 + 48a + -21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 48a + -3 + -21b = 0 + -3 Reorder the terms: 3 + -3 + 48a + -21b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 48a + -21b = 0 + -3 48a + -21b = 0 + -3 Combine like terms: 0 + -3 = -3 48a + -21b = -3 Add '21b' to each side of the equation. 48a + -21b + 21b = -3 + 21b Combine like terms: -21b + 21b = 0 48a + 0 = -3 + 21b 48a = -3 + 21b Divide each side by '48'. a = -0.0625 + 0.4375b Simplifying a = -0.0625 + 0.4375b
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