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Simplifying -7(4b + 2) + (2ab + -9) = 0 Reorder the terms: -7(2 + 4b) + (2ab + -9) = 0 (2 * -7 + 4b * -7) + (2ab + -9) = 0 (-14 + -28b) + (2ab + -9) = 0 Reorder the terms: -14 + -28b + (-9 + 2ab) = 0 Remove parenthesis around (-9 + 2ab) -14 + -28b + -9 + 2ab = 0 Reorder the terms: -14 + -9 + 2ab + -28b = 0 Combine like terms: -14 + -9 = -23 -23 + 2ab + -28b = 0 Solving -23 + 2ab + -28b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 2ab + 23 + -28b = 0 + 23 Reorder the terms: -23 + 23 + 2ab + -28b = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 2ab + -28b = 0 + 23 2ab + -28b = 0 + 23 Combine like terms: 0 + 23 = 23 2ab + -28b = 23 Add '28b' to each side of the equation. 2ab + -28b + 28b = 23 + 28b Combine like terms: -28b + 28b = 0 2ab + 0 = 23 + 28b 2ab = 23 + 28b Divide each side by '2b'. a = 11.5b-1 + 14 Simplifying a = 11.5b-1 + 14 Reorder the terms: a = 14 + 11.5b-1
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