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Simplifying 10a + -3(4a + b) + 2(a + -7b) = 0 10a + (4a * -3 + b * -3) + 2(a + -7b) = 0 10a + (-12a + -3b) + 2(a + -7b) = 0 10a + -12a + -3b + (a * 2 + -7b * 2) = 0 10a + -12a + -3b + (2a + -14b) = 0 Reorder the terms: 10a + -12a + 2a + -3b + -14b = 0 Combine like terms: 10a + -12a = -2a -2a + 2a + -3b + -14b = 0 Combine like terms: -2a + 2a = 0 0 + -3b + -14b = 0 -3b + -14b = 0 Combine like terms: -3b + -14b = -17b -17b = 0 Solving -17b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '-17'. b = 0 Simplifying b = 0
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