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Simplifying 5(A + -3) + -3A = 3(A + -7) + -1 Reorder the terms: 5(-3 + A) + -3A = 3(A + -7) + -1 (-3 * 5 + A * 5) + -3A = 3(A + -7) + -1 (-15 + 5A) + -3A = 3(A + -7) + -1 Combine like terms: 5A + -3A = 2A -15 + 2A = 3(A + -7) + -1 Reorder the terms: -15 + 2A = 3(-7 + A) + -1 -15 + 2A = (-7 * 3 + A * 3) + -1 -15 + 2A = (-21 + 3A) + -1 Reorder the terms: -15 + 2A = -21 + -1 + 3A Combine like terms: -21 + -1 = -22 -15 + 2A = -22 + 3A Solving -15 + 2A = -22 + 3A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-3A' to each side of the equation. -15 + 2A + -3A = -22 + 3A + -3A Combine like terms: 2A + -3A = -1A -15 + -1A = -22 + 3A + -3A Combine like terms: 3A + -3A = 0 -15 + -1A = -22 + 0 -15 + -1A = -22 Add '15' to each side of the equation. -15 + 15 + -1A = -22 + 15 Combine like terms: -15 + 15 = 0 0 + -1A = -22 + 15 -1A = -22 + 15 Combine like terms: -22 + 15 = -7 -1A = -7 Divide each side by '-1'. A = 7 Simplifying A = 7
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