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Simplifying 7(A + -5) + 10 = 4(A + -4) Reorder the terms: 7(-5 + A) + 10 = 4(A + -4) (-5 * 7 + A * 7) + 10 = 4(A + -4) (-35 + 7A) + 10 = 4(A + -4) Reorder the terms: -35 + 10 + 7A = 4(A + -4) Combine like terms: -35 + 10 = -25 -25 + 7A = 4(A + -4) Reorder the terms: -25 + 7A = 4(-4 + A) -25 + 7A = (-4 * 4 + A * 4) -25 + 7A = (-16 + 4A) Solving -25 + 7A = -16 + 4A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-4A' to each side of the equation. -25 + 7A + -4A = -16 + 4A + -4A Combine like terms: 7A + -4A = 3A -25 + 3A = -16 + 4A + -4A Combine like terms: 4A + -4A = 0 -25 + 3A = -16 + 0 -25 + 3A = -16 Add '25' to each side of the equation. -25 + 25 + 3A = -16 + 25 Combine like terms: -25 + 25 = 0 0 + 3A = -16 + 25 3A = -16 + 25 Combine like terms: -16 + 25 = 9 3A = 9 Divide each side by '3'. A = 3 Simplifying A = 3
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