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Simplifying 7a + 2(a + -7) + -3(b + -7) = 0 Reorder the terms: 7a + 2(-7 + a) + -3(b + -7) = 0 7a + (-7 * 2 + a * 2) + -3(b + -7) = 0 7a + (-14 + 2a) + -3(b + -7) = 0 Reorder the terms: 7a + -14 + 2a + -3(-7 + b) = 0 7a + -14 + 2a + (-7 * -3 + b * -3) = 0 7a + -14 + 2a + (21 + -3b) = 0 Reorder the terms: -14 + 21 + 7a + 2a + -3b = 0 Combine like terms: -14 + 21 = 7 7 + 7a + 2a + -3b = 0 Combine like terms: 7a + 2a = 9a 7 + 9a + -3b = 0 Solving 7 + 9a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 9a + -7 + -3b = 0 + -7 Reorder the terms: 7 + -7 + 9a + -3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9a + -3b = 0 + -7 9a + -3b = 0 + -7 Combine like terms: 0 + -7 = -7 9a + -3b = -7 Add '3b' to each side of the equation. 9a + -3b + 3b = -7 + 3b Combine like terms: -3b + 3b = 0 9a + 0 = -7 + 3b 9a = -7 + 3b Divide each side by '9'. a = -0.7777777778 + 0.3333333333b Simplifying a = -0.7777777778 + 0.3333333333b
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