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Simplifying 8x + -12 + -3a = 9x + -7 Reorder the terms: -12 + -3a + 8x = 9x + -7 Reorder the terms: -12 + -3a + 8x = -7 + 9x Solving -12 + -3a + 8x = -7 + 9x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -3a + 12 + 8x = -7 + 12 + 9x Reorder the terms: -12 + 12 + -3a + 8x = -7 + 12 + 9x Combine like terms: -12 + 12 = 0 0 + -3a + 8x = -7 + 12 + 9x -3a + 8x = -7 + 12 + 9x Combine like terms: -7 + 12 = 5 -3a + 8x = 5 + 9x Add '-8x' to each side of the equation. -3a + 8x + -8x = 5 + 9x + -8x Combine like terms: 8x + -8x = 0 -3a + 0 = 5 + 9x + -8x -3a = 5 + 9x + -8x Combine like terms: 9x + -8x = 1x -3a = 5 + 1x Divide each side by '-3'. a = -1.666666667 + -0.3333333333x Simplifying a = -1.666666667 + -0.3333333333x
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