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