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Simplifying 7(A + -7) + 10 = 2(A + -7) Reorder the terms: 7(-7 + A) + 10 = 2(A + -7) (-7 * 7 + A * 7) + 10 = 2(A + -7) (-49 + 7A) + 10 = 2(A + -7) Reorder the terms: -49 + 10 + 7A = 2(A + -7) Combine like terms: -49 + 10 = -39 -39 + 7A = 2(A + -7) Reorder the terms: -39 + 7A = 2(-7 + A) -39 + 7A = (-7 * 2 + A * 2) -39 + 7A = (-14 + 2A) Solving -39 + 7A = -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. -39 + 7A + -2A = -14 + 2A + -2A Combine like terms: 7A + -2A = 5A -39 + 5A = -14 + 2A + -2A Combine like terms: 2A + -2A = 0 -39 + 5A = -14 + 0 -39 + 5A = -14 Add '39' to each side of the equation. -39 + 39 + 5A = -14 + 39 Combine like terms: -39 + 39 = 0 0 + 5A = -14 + 39 5A = -14 + 39 Combine like terms: -14 + 39 = 25 5A = 25 Divide each side by '5'. A = 5 Simplifying A = 5
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