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Simplifying 2(3A + -7) = (5A + -6) Reorder the terms: 2(-7 + 3A) = (5A + -6) (-7 * 2 + 3A * 2) = (5A + -6) (-14 + 6A) = (5A + -6) Reorder the terms: -14 + 6A = (-6 + 5A) Remove parenthesis around (-6 + 5A) -14 + 6A = -6 + 5A Solving -14 + 6A = -6 + 5A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-5A' to each side of the equation. -14 + 6A + -5A = -6 + 5A + -5A Combine like terms: 6A + -5A = 1A -14 + 1A = -6 + 5A + -5A Combine like terms: 5A + -5A = 0 -14 + 1A = -6 + 0 -14 + 1A = -6 Add '14' to each side of the equation. -14 + 14 + 1A = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 1A = -6 + 14 1A = -6 + 14 Combine like terms: -6 + 14 = 8 1A = 8 Divide each side by '1'. A = 8 Simplifying A = 8
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