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Simplifying 6x + -9y + 3 + -2x + 2y + -1c + 4 + 6c + 10a + -4 = 0 Reorder the terms: 3 + 4 + -4 + 10a + -1c + 6c + 6x + -2x + -9y + 2y = 0 Combine like terms: 3 + 4 = 7 7 + -4 + 10a + -1c + 6c + 6x + -2x + -9y + 2y = 0 Combine like terms: 7 + -4 = 3 3 + 10a + -1c + 6c + 6x + -2x + -9y + 2y = 0 Combine like terms: -1c + 6c = 5c 3 + 10a + 5c + 6x + -2x + -9y + 2y = 0 Combine like terms: 6x + -2x = 4x 3 + 10a + 5c + 4x + -9y + 2y = 0 Combine like terms: -9y + 2y = -7y 3 + 10a + 5c + 4x + -7y = 0 Solving 3 + 10a + 5c + 4x + -7y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10a + 5c + 4x + -3 + -7y = 0 + -3 Reorder the terms: 3 + -3 + 10a + 5c + 4x + -7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10a + 5c + 4x + -7y = 0 + -3 10a + 5c + 4x + -7y = 0 + -3 Combine like terms: 0 + -3 = -3 10a + 5c + 4x + -7y = -3 Add '-5c' to each side of the equation. 10a + 5c + 4x + -5c + -7y = -3 + -5c Reorder the terms: 10a + 5c + -5c + 4x + -7y = -3 + -5c Combine like terms: 5c + -5c = 0 10a + 0 + 4x + -7y = -3 + -5c 10a + 4x + -7y = -3 + -5c Add '-4x' to each side of the equation. 10a + 4x + -4x + -7y = -3 + -5c + -4x Combine like terms: 4x + -4x = 0 10a + 0 + -7y = -3 + -5c + -4x 10a + -7y = -3 + -5c + -4x Add '7y' to each side of the equation. 10a + -7y + 7y = -3 + -5c + -4x + 7y Combine like terms: -7y + 7y = 0 10a + 0 = -3 + -5c + -4x + 7y 10a = -3 + -5c + -4x + 7y Divide each side by '10'. a = -0.3 + -0.5c + -0.4x + 0.7y Simplifying a = -0.3 + -0.5c + -0.4x + 0.7y
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