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Simplifying 12 + -5(6A + -12) = -4(10A + 12) Reorder the terms: 12 + -5(-12 + 6A) = -4(10A + 12) 12 + (-12 * -5 + 6A * -5) = -4(10A + 12) 12 + (60 + -30A) = -4(10A + 12) Combine like terms: 12 + 60 = 72 72 + -30A = -4(10A + 12) Reorder the terms: 72 + -30A = -4(12 + 10A) 72 + -30A = (12 * -4 + 10A * -4) 72 + -30A = (-48 + -40A) Solving 72 + -30A = -48 + -40A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '40A' to each side of the equation. 72 + -30A + 40A = -48 + -40A + 40A Combine like terms: -30A + 40A = 10A 72 + 10A = -48 + -40A + 40A Combine like terms: -40A + 40A = 0 72 + 10A = -48 + 0 72 + 10A = -48 Add '-72' to each side of the equation. 72 + -72 + 10A = -48 + -72 Combine like terms: 72 + -72 = 0 0 + 10A = -48 + -72 10A = -48 + -72 Combine like terms: -48 + -72 = -120 10A = -120 Divide each side by '10'. A = -12 Simplifying A = -12
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