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Simplifying 3x + 4y + 7a + 10 = 0 Reorder the terms: 10 + 7a + 3x + 4y = 0 Solving 10 + 7a + 3x + 4y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 7a + 3x + -10 + 4y = 0 + -10 Reorder the terms: 10 + -10 + 7a + 3x + 4y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7a + 3x + 4y = 0 + -10 7a + 3x + 4y = 0 + -10 Combine like terms: 0 + -10 = -10 7a + 3x + 4y = -10 Add '-3x' to each side of the equation. 7a + 3x + -3x + 4y = -10 + -3x Combine like terms: 3x + -3x = 0 7a + 0 + 4y = -10 + -3x 7a + 4y = -10 + -3x Add '-4y' to each side of the equation. 7a + 4y + -4y = -10 + -3x + -4y Combine like terms: 4y + -4y = 0 7a + 0 = -10 + -3x + -4y 7a = -10 + -3x + -4y Divide each side by '7'. a = -1.428571429 + -0.4285714286x + -0.5714285714y Simplifying a = -1.428571429 + -0.4285714286x + -0.5714285714y
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