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Simplifying 3A + 1 = 2.6(A + -1) Reorder the terms: 1 + 3A = 2.6(A + -1) Reorder the terms: 1 + 3A = 2.6(-1 + A) 1 + 3A = (-1 * 2.6 + A * 2.6) 1 + 3A = (-2.6 + 2.6A) Solving 1 + 3A = -2.6 + 2.6A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2.6A' to each side of the equation. 1 + 3A + -2.6A = -2.6 + 2.6A + -2.6A Combine like terms: 3A + -2.6A = 0.4A 1 + 0.4A = -2.6 + 2.6A + -2.6A Combine like terms: 2.6A + -2.6A = 0.0 1 + 0.4A = -2.6 + 0.0 1 + 0.4A = -2.6 Add '-1' to each side of the equation. 1 + -1 + 0.4A = -2.6 + -1 Combine like terms: 1 + -1 = 0 0 + 0.4A = -2.6 + -1 0.4A = -2.6 + -1 Combine like terms: -2.6 + -1 = -3.6 0.4A = -3.6 Divide each side by '0.4'. A = -9 Simplifying A = -9
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