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Simplifying 32 + 8A = -8(4 + -3A) 32 + 8A = (4 * -8 + -3A * -8) 32 + 8A = (-32 + 24A) Solving 32 + 8A = -32 + 24A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-24A' to each side of the equation. 32 + 8A + -24A = -32 + 24A + -24A Combine like terms: 8A + -24A = -16A 32 + -16A = -32 + 24A + -24A Combine like terms: 24A + -24A = 0 32 + -16A = -32 + 0 32 + -16A = -32 Add '-32' to each side of the equation. 32 + -32 + -16A = -32 + -32 Combine like terms: 32 + -32 = 0 0 + -16A = -32 + -32 -16A = -32 + -32 Combine like terms: -32 + -32 = -64 -16A = -64 Divide each side by '-16'. A = 4 Simplifying A = 4
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