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Simplifying 5 + 55x + 5y + 5a + 5b + 5c = 5 Reorder the terms: 5 + 5a + 5b + 5c + 55x + 5y = 5 Add '-5' to each side of the equation. 5 + 5a + 5b + 5c + 55x + -5 + 5y = 5 + -5 Reorder the terms: 5 + -5 + 5a + 5b + 5c + 55x + 5y = 5 + -5 Combine like terms: 5 + -5 = 0 0 + 5a + 5b + 5c + 55x + 5y = 5 + -5 5a + 5b + 5c + 55x + 5y = 5 + -5 Combine like terms: 5 + -5 = 0 5a + 5b + 5c + 55x + 5y = 0 Solving 5a + 5b + 5c + 55x + 5y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 5a + 5b + 5c + 55x + -5b + 5y = 0 + -5b Reorder the terms: 5a + 5b + -5b + 5c + 55x + 5y = 0 + -5b Combine like terms: 5b + -5b = 0 5a + 0 + 5c + 55x + 5y = 0 + -5b 5a + 5c + 55x + 5y = 0 + -5b Remove the zero: 5a + 5c + 55x + 5y = -5b Add '-5c' to each side of the equation. 5a + 5c + 55x + -5c + 5y = -5b + -5c Reorder the terms: 5a + 5c + -5c + 55x + 5y = -5b + -5c Combine like terms: 5c + -5c = 0 5a + 0 + 55x + 5y = -5b + -5c 5a + 55x + 5y = -5b + -5c Add '-55x' to each side of the equation. 5a + 55x + -55x + 5y = -5b + -5c + -55x Combine like terms: 55x + -55x = 0 5a + 0 + 5y = -5b + -5c + -55x 5a + 5y = -5b + -5c + -55x Add '-5y' to each side of the equation. 5a + 5y + -5y = -5b + -5c + -55x + -5y Combine like terms: 5y + -5y = 0 5a + 0 = -5b + -5c + -55x + -5y 5a = -5b + -5c + -55x + -5y Divide each side by '5'. a = -1b + -1c + -11x + -1y Simplifying a = -1b + -1c + -11x + -1y
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