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Simplifying 5a + 3b + -4(3a + 2b) + -12 + 10b = 0 5a + 3b + (3a * -4 + 2b * -4) + -12 + 10b = 0 5a + 3b + (-12a + -8b) + -12 + 10b = 0 Reorder the terms: -12 + 5a + -12a + 3b + -8b + 10b = 0 Combine like terms: 5a + -12a = -7a -12 + -7a + 3b + -8b + 10b = 0 Combine like terms: 3b + -8b = -5b -12 + -7a + -5b + 10b = 0 Combine like terms: -5b + 10b = 5b -12 + -7a + 5b = 0 Solving -12 + -7a + 5b = 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 + -7a + 12 + 5b = 0 + 12 Reorder the terms: -12 + 12 + -7a + 5b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -7a + 5b = 0 + 12 -7a + 5b = 0 + 12 Combine like terms: 0 + 12 = 12 -7a + 5b = 12 Add '-5b' to each side of the equation. -7a + 5b + -5b = 12 + -5b Combine like terms: 5b + -5b = 0 -7a + 0 = 12 + -5b -7a = 12 + -5b Divide each side by '-7'. a = -1.714285714 + 0.7142857143b Simplifying a = -1.714285714 + 0.7142857143b
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