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Simplifying -3(2A + -6) + 16 = 4(A + 11) + -5A Reorder the terms: -3(-6 + 2A) + 16 = 4(A + 11) + -5A (-6 * -3 + 2A * -3) + 16 = 4(A + 11) + -5A (18 + -6A) + 16 = 4(A + 11) + -5A Reorder the terms: 18 + 16 + -6A = 4(A + 11) + -5A Combine like terms: 18 + 16 = 34 34 + -6A = 4(A + 11) + -5A Reorder the terms: 34 + -6A = 4(11 + A) + -5A 34 + -6A = (11 * 4 + A * 4) + -5A 34 + -6A = (44 + 4A) + -5A Combine like terms: 4A + -5A = -1A 34 + -6A = 44 + -1A Solving 34 + -6A = 44 + -1A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add 'A' to each side of the equation. 34 + -6A + A = 44 + -1A + A Combine like terms: -6A + A = -5A 34 + -5A = 44 + -1A + A Combine like terms: -1A + A = 0 34 + -5A = 44 + 0 34 + -5A = 44 Add '-34' to each side of the equation. 34 + -34 + -5A = 44 + -34 Combine like terms: 34 + -34 = 0 0 + -5A = 44 + -34 -5A = 44 + -34 Combine like terms: 44 + -34 = 10 -5A = 10 Divide each side by '-5'. A = -2 Simplifying A = -2
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