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Simplifying 7a + 3(a + -7) + -6(b + -7) = 0 Reorder the terms: 7a + 3(-7 + a) + -6(b + -7) = 0 7a + (-7 * 3 + a * 3) + -6(b + -7) = 0 7a + (-21 + 3a) + -6(b + -7) = 0 Reorder the terms: 7a + -21 + 3a + -6(-7 + b) = 0 7a + -21 + 3a + (-7 * -6 + b * -6) = 0 7a + -21 + 3a + (42 + -6b) = 0 Reorder the terms: -21 + 42 + 7a + 3a + -6b = 0 Combine like terms: -21 + 42 = 21 21 + 7a + 3a + -6b = 0 Combine like terms: 7a + 3a = 10a 21 + 10a + -6b = 0 Solving 21 + 10a + -6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 10a + -21 + -6b = 0 + -21 Reorder the terms: 21 + -21 + 10a + -6b = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 10a + -6b = 0 + -21 10a + -6b = 0 + -21 Combine like terms: 0 + -21 = -21 10a + -6b = -21 Add '6b' to each side of the equation. 10a + -6b + 6b = -21 + 6b Combine like terms: -6b + 6b = 0 10a + 0 = -21 + 6b 10a = -21 + 6b Divide each side by '10'. a = -2.1 + 0.6b Simplifying a = -2.1 + 0.6b
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