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Simplifying -3(2a + -8) + -4(b + -7) = 0 Reorder the terms: -3(-8 + 2a) + -4(b + -7) = 0 (-8 * -3 + 2a * -3) + -4(b + -7) = 0 (24 + -6a) + -4(b + -7) = 0 Reorder the terms: 24 + -6a + -4(-7 + b) = 0 24 + -6a + (-7 * -4 + b * -4) = 0 24 + -6a + (28 + -4b) = 0 Reorder the terms: 24 + 28 + -6a + -4b = 0 Combine like terms: 24 + 28 = 52 52 + -6a + -4b = 0 Solving 52 + -6a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -6a + -52 + -4b = 0 + -52 Reorder the terms: 52 + -52 + -6a + -4b = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -6a + -4b = 0 + -52 -6a + -4b = 0 + -52 Combine like terms: 0 + -52 = -52 -6a + -4b = -52 Add '4b' to each side of the equation. -6a + -4b + 4b = -52 + 4b Combine like terms: -4b + 4b = 0 -6a + 0 = -52 + 4b -6a = -52 + 4b Divide each side by '-6'. a = 8.666666667 + -0.6666666667b Simplifying a = 8.666666667 + -0.6666666667b
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