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Simplifying 14a + 3(a + -4) = -2(b + 4a) Reorder the terms: 14a + 3(-4 + a) = -2(b + 4a) 14a + (-4 * 3 + a * 3) = -2(b + 4a) 14a + (-12 + 3a) = -2(b + 4a) Reorder the terms: -12 + 14a + 3a = -2(b + 4a) Combine like terms: 14a + 3a = 17a -12 + 17a = -2(b + 4a) Reorder the terms: -12 + 17a = -2(4a + b) -12 + 17a = (4a * -2 + b * -2) -12 + 17a = (-8a + -2b) Solving -12 + 17a = -8a + -2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -12 + 17a + 8a = -8a + 8a + -2b Combine like terms: 17a + 8a = 25a -12 + 25a = -8a + 8a + -2b Combine like terms: -8a + 8a = 0 -12 + 25a = 0 + -2b -12 + 25a = -2b Add '12' to each side of the equation. -12 + 12 + 25a = 12 + -2b Combine like terms: -12 + 12 = 0 0 + 25a = 12 + -2b 25a = 12 + -2b Divide each side by '25'. a = 0.48 + -0.08b Simplifying a = 0.48 + -0.08b
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