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Simplifying 6 + -7(A + 7) = -3(2 + -1A) Reorder the terms: 6 + -7(7 + A) = -3(2 + -1A) 6 + (7 * -7 + A * -7) = -3(2 + -1A) 6 + (-49 + -7A) = -3(2 + -1A) Combine like terms: 6 + -49 = -43 -43 + -7A = -3(2 + -1A) -43 + -7A = (2 * -3 + -1A * -3) -43 + -7A = (-6 + 3A) Solving -43 + -7A = -6 + 3A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-3A' to each side of the equation. -43 + -7A + -3A = -6 + 3A + -3A Combine like terms: -7A + -3A = -10A -43 + -10A = -6 + 3A + -3A Combine like terms: 3A + -3A = 0 -43 + -10A = -6 + 0 -43 + -10A = -6 Add '43' to each side of the equation. -43 + 43 + -10A = -6 + 43 Combine like terms: -43 + 43 = 0 0 + -10A = -6 + 43 -10A = -6 + 43 Combine like terms: -6 + 43 = 37 -10A = 37 Divide each side by '-10'. A = -3.7 Simplifying A = -3.7
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