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Simplifying 2a + 6b + -9(x) + 7 = 0 Reorder the terms: 7 + 2a + 6b + -9x = 0 Solving 7 + 2a + 6b + -9x = 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 + 2a + 6b + -7 + -9x = 0 + -7 Reorder the terms: 7 + -7 + 2a + 6b + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2a + 6b + -9x = 0 + -7 2a + 6b + -9x = 0 + -7 Combine like terms: 0 + -7 = -7 2a + 6b + -9x = -7 Add '-6b' to each side of the equation. 2a + 6b + -6b + -9x = -7 + -6b Combine like terms: 6b + -6b = 0 2a + 0 + -9x = -7 + -6b 2a + -9x = -7 + -6b Add '9x' to each side of the equation. 2a + -9x + 9x = -7 + -6b + 9x Combine like terms: -9x + 9x = 0 2a + 0 = -7 + -6b + 9x 2a = -7 + -6b + 9x Divide each side by '2'. a = -3.5 + -3b + 4.5x Simplifying a = -3.5 + -3b + 4.5x
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