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Simplifying -21(a + 2b) + 14a + -9b = 0 (a * -21 + 2b * -21) + 14a + -9b = 0 (-21a + -42b) + 14a + -9b = 0 Reorder the terms: -21a + 14a + -42b + -9b = 0 Combine like terms: -21a + 14a = -7a -7a + -42b + -9b = 0 Combine like terms: -42b + -9b = -51b -7a + -51b = 0 Solving -7a + -51b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '51b' to each side of the equation. -7a + -51b + 51b = 0 + 51b Combine like terms: -51b + 51b = 0 -7a + 0 = 0 + 51b -7a = 0 + 51b Remove the zero: -7a = 51b Divide each side by '-7'. a = -7.285714286b Simplifying a = -7.285714286b
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