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Simplifying 3x + 5y + 7z + 5a + 3b = 297 Reorder the terms: 5a + 3b + 3x + 5y + 7z = 297 Solving 5a + 3b + 3x + 5y + 7z = 297 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 5a + 3b + 3x + 5y + -3b + 7z = 297 + -3b Reorder the terms: 5a + 3b + -3b + 3x + 5y + 7z = 297 + -3b Combine like terms: 3b + -3b = 0 5a + 0 + 3x + 5y + 7z = 297 + -3b 5a + 3x + 5y + 7z = 297 + -3b Add '-3x' to each side of the equation. 5a + 3x + 5y + -3x + 7z = 297 + -3b + -3x Reorder the terms: 5a + 3x + -3x + 5y + 7z = 297 + -3b + -3x Combine like terms: 3x + -3x = 0 5a + 0 + 5y + 7z = 297 + -3b + -3x 5a + 5y + 7z = 297 + -3b + -3x Add '-5y' to each side of the equation. 5a + 5y + -5y + 7z = 297 + -3b + -3x + -5y Combine like terms: 5y + -5y = 0 5a + 0 + 7z = 297 + -3b + -3x + -5y 5a + 7z = 297 + -3b + -3x + -5y Add '-7z' to each side of the equation. 5a + 7z + -7z = 297 + -3b + -3x + -5y + -7z Combine like terms: 7z + -7z = 0 5a + 0 = 297 + -3b + -3x + -5y + -7z 5a = 297 + -3b + -3x + -5y + -7z Divide each side by '5'. a = 59.4 + -0.6b + -0.6x + -1y + -1.4z Simplifying a = 59.4 + -0.6b + -0.6x + -1y + -1.4z
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