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Simplifying 5a + -2 + 3x = 17 + 12r + -23 Reorder the terms: -2 + 5a + 3x = 17 + 12r + -23 Reorder the terms: -2 + 5a + 3x = 17 + -23 + 12r Combine like terms: 17 + -23 = -6 -2 + 5a + 3x = -6 + 12r Solving -2 + 5a + 3x = -6 + 12r Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5a + 2 + 3x = -6 + 2 + 12r Reorder the terms: -2 + 2 + 5a + 3x = -6 + 2 + 12r Combine like terms: -2 + 2 = 0 0 + 5a + 3x = -6 + 2 + 12r 5a + 3x = -6 + 2 + 12r Combine like terms: -6 + 2 = -4 5a + 3x = -4 + 12r Add '-3x' to each side of the equation. 5a + 3x + -3x = -4 + 12r + -3x Combine like terms: 3x + -3x = 0 5a + 0 = -4 + 12r + -3x 5a = -4 + 12r + -3x Divide each side by '5'. a = -0.8 + 2.4r + -0.6x Simplifying a = -0.8 + 2.4r + -0.6x
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