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Simplifying 10(4a + 3b) + -6(8a + 2) = 0 (4a * 10 + 3b * 10) + -6(8a + 2) = 0 (40a + 30b) + -6(8a + 2) = 0 Reorder the terms: 40a + 30b + -6(2 + 8a) = 0 40a + 30b + (2 * -6 + 8a * -6) = 0 40a + 30b + (-12 + -48a) = 0 Reorder the terms: -12 + 40a + -48a + 30b = 0 Combine like terms: 40a + -48a = -8a -12 + -8a + 30b = 0 Solving -12 + -8a + 30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -8a + 12 + 30b = 0 + 12 Reorder the terms: -12 + 12 + -8a + 30b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -8a + 30b = 0 + 12 -8a + 30b = 0 + 12 Combine like terms: 0 + 12 = 12 -8a + 30b = 12 Add '-30b' to each side of the equation. -8a + 30b + -30b = 12 + -30b Combine like terms: 30b + -30b = 0 -8a + 0 = 12 + -30b -8a = 12 + -30b Divide each side by '-8'. a = -1.5 + 3.75b Simplifying a = -1.5 + 3.75b
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