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Simplifying 3(A + -4) + -5(2A + -6) = 21 Reorder the terms: 3(-4 + A) + -5(2A + -6) = 21 (-4 * 3 + A * 3) + -5(2A + -6) = 21 (-12 + 3A) + -5(2A + -6) = 21 Reorder the terms: -12 + 3A + -5(-6 + 2A) = 21 -12 + 3A + (-6 * -5 + 2A * -5) = 21 -12 + 3A + (30 + -10A) = 21 Reorder the terms: -12 + 30 + 3A + -10A = 21 Combine like terms: -12 + 30 = 18 18 + 3A + -10A = 21 Combine like terms: 3A + -10A = -7A 18 + -7A = 21 Solving 18 + -7A = 21 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -7A = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -7A = 21 + -18 -7A = 21 + -18 Combine like terms: 21 + -18 = 3 -7A = 3 Divide each side by '-7'. A = -0.4285714286 Simplifying A = -0.4285714286
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