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Simplifying 5(2A + -7) = 45 + -6A Reorder the terms: 5(-7 + 2A) = 45 + -6A (-7 * 5 + 2A * 5) = 45 + -6A (-35 + 10A) = 45 + -6A Solving -35 + 10A = 45 + -6A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '6A' to each side of the equation. -35 + 10A + 6A = 45 + -6A + 6A Combine like terms: 10A + 6A = 16A -35 + 16A = 45 + -6A + 6A Combine like terms: -6A + 6A = 0 -35 + 16A = 45 + 0 -35 + 16A = 45 Add '35' to each side of the equation. -35 + 35 + 16A = 45 + 35 Combine like terms: -35 + 35 = 0 0 + 16A = 45 + 35 16A = 45 + 35 Combine like terms: 45 + 35 = 80 16A = 80 Divide each side by '16'. A = 5 Simplifying A = 5
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