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Simplifying 152 = b + 2a + -8 + c + -32 Reorder the terms: 152 = -8 + -32 + 2a + b + c Combine like terms: -8 + -32 = -40 152 = -40 + 2a + b + c Solving 152 = -40 + 2a + b + c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 152 + -2a = -40 + 2a + b + -2a + c Reorder the terms: 152 + -2a = -40 + 2a + -2a + b + c Combine like terms: 2a + -2a = 0 152 + -2a = -40 + 0 + b + c 152 + -2a = -40 + b + c Add '-152' to each side of the equation. 152 + -152 + -2a = -40 + b + -152 + c Combine like terms: 152 + -152 = 0 0 + -2a = -40 + b + -152 + c -2a = -40 + b + -152 + c Reorder the terms: -2a = -40 + -152 + b + c Combine like terms: -40 + -152 = -192 -2a = -192 + b + c Divide each side by '-2'. a = 96 + -0.5b + -0.5c Simplifying a = 96 + -0.5b + -0.5c
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