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Simplifying 7(A + -3) + -2A = 6A + 1 Reorder the terms: 7(-3 + A) + -2A = 6A + 1 (-3 * 7 + A * 7) + -2A = 6A + 1 (-21 + 7A) + -2A = 6A + 1 Combine like terms: 7A + -2A = 5A -21 + 5A = 6A + 1 Reorder the terms: -21 + 5A = 1 + 6A Solving -21 + 5A = 1 + 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. -21 + 5A + -6A = 1 + 6A + -6A Combine like terms: 5A + -6A = -1A -21 + -1A = 1 + 6A + -6A Combine like terms: 6A + -6A = 0 -21 + -1A = 1 + 0 -21 + -1A = 1 Add '21' to each side of the equation. -21 + 21 + -1A = 1 + 21 Combine like terms: -21 + 21 = 0 0 + -1A = 1 + 21 -1A = 1 + 21 Combine like terms: 1 + 21 = 22 -1A = 22 Divide each side by '-1'. A = -22 Simplifying A = -22
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