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Simplifying 8(-5A + 29) = 40 + -32A Reorder the terms: 8(29 + -5A) = 40 + -32A (29 * 8 + -5A * 8) = 40 + -32A (232 + -40A) = 40 + -32A Solving 232 + -40A = 40 + -32A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '32A' to each side of the equation. 232 + -40A + 32A = 40 + -32A + 32A Combine like terms: -40A + 32A = -8A 232 + -8A = 40 + -32A + 32A Combine like terms: -32A + 32A = 0 232 + -8A = 40 + 0 232 + -8A = 40 Add '-232' to each side of the equation. 232 + -232 + -8A = 40 + -232 Combine like terms: 232 + -232 = 0 0 + -8A = 40 + -232 -8A = 40 + -232 Combine like terms: 40 + -232 = -192 -8A = -192 Divide each side by '-8'. A = 24 Simplifying A = 24
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