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Simplifying -8a + -1 + 3a = 7a + -6 + 5a + -3 Reorder the terms: -1 + -8a + 3a = 7a + -6 + 5a + -3 Combine like terms: -8a + 3a = -5a -1 + -5a = 7a + -6 + 5a + -3 Reorder the terms: -1 + -5a = -6 + -3 + 7a + 5a Combine like terms: -6 + -3 = -9 -1 + -5a = -9 + 7a + 5a Combine like terms: 7a + 5a = 12a -1 + -5a = -9 + 12a Solving -1 + -5a = -9 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -1 + -5a + -12a = -9 + 12a + -12a Combine like terms: -5a + -12a = -17a -1 + -17a = -9 + 12a + -12a Combine like terms: 12a + -12a = 0 -1 + -17a = -9 + 0 -1 + -17a = -9 Add '1' to each side of the equation. -1 + 1 + -17a = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -17a = -9 + 1 -17a = -9 + 1 Combine like terms: -9 + 1 = -8 -17a = -8 Divide each side by '-17'. a = 0.4705882353 Simplifying a = 0.4705882353
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