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Simplifying 2(a + 2) + -1(7 + b) = -6 Reorder the terms: 2(2 + a) + -1(7 + b) = -6 (2 * 2 + a * 2) + -1(7 + b) = -6 (4 + 2a) + -1(7 + b) = -6 4 + 2a + (7 * -1 + b * -1) = -6 4 + 2a + (-7 + -1b) = -6 Reorder the terms: 4 + -7 + 2a + -1b = -6 Combine like terms: 4 + -7 = -3 -3 + 2a + -1b = -6 Solving -3 + 2a + -1b = -6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2a + 3 + -1b = -6 + 3 Reorder the terms: -3 + 3 + 2a + -1b = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 2a + -1b = -6 + 3 2a + -1b = -6 + 3 Combine like terms: -6 + 3 = -3 2a + -1b = -3 Add 'b' to each side of the equation. 2a + -1b + b = -3 + b Combine like terms: -1b + b = 0 2a + 0 = -3 + b 2a = -3 + b Divide each side by '2'. a = -1.5 + 0.5b Simplifying a = -1.5 + 0.5b
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