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Simplifying 10a + -5 + 7a + -91 = 4a + 20 Reorder the terms: -5 + -91 + 10a + 7a = 4a + 20 Combine like terms: -5 + -91 = -96 -96 + 10a + 7a = 4a + 20 Combine like terms: 10a + 7a = 17a -96 + 17a = 4a + 20 Reorder the terms: -96 + 17a = 20 + 4a Solving -96 + 17a = 20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -96 + 17a + -4a = 20 + 4a + -4a Combine like terms: 17a + -4a = 13a -96 + 13a = 20 + 4a + -4a Combine like terms: 4a + -4a = 0 -96 + 13a = 20 + 0 -96 + 13a = 20 Add '96' to each side of the equation. -96 + 96 + 13a = 20 + 96 Combine like terms: -96 + 96 = 0 0 + 13a = 20 + 96 13a = 20 + 96 Combine like terms: 20 + 96 = 116 13a = 116 Divide each side by '13'. a = 8.923076923 Simplifying a = 8.923076923
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