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Simplifying 7a + 32 = 7 + -40a Reorder the terms: 32 + 7a = 7 + -40a Solving 32 + 7a = 7 + -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. 32 + 7a + 40a = 7 + -40a + 40a Combine like terms: 7a + 40a = 47a 32 + 47a = 7 + -40a + 40a Combine like terms: -40a + 40a = 0 32 + 47a = 7 + 0 32 + 47a = 7 Add '-32' to each side of the equation. 32 + -32 + 47a = 7 + -32 Combine like terms: 32 + -32 = 0 0 + 47a = 7 + -32 47a = 7 + -32 Combine like terms: 7 + -32 = -25 47a = -25 Divide each side by '47'. a = -0.5319148936 Simplifying a = -0.5319148936
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