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Simplifying 3a + -4 + 9d + -2 = 5a + 22 Reorder the terms: -4 + -2 + 3a + 9d = 5a + 22 Combine like terms: -4 + -2 = -6 -6 + 3a + 9d = 5a + 22 Reorder the terms: -6 + 3a + 9d = 22 + 5a Solving -6 + 3a + 9d = 22 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -6 + 3a + -5a + 9d = 22 + 5a + -5a Combine like terms: 3a + -5a = -2a -6 + -2a + 9d = 22 + 5a + -5a Combine like terms: 5a + -5a = 0 -6 + -2a + 9d = 22 + 0 -6 + -2a + 9d = 22 Add '6' to each side of the equation. -6 + -2a + 6 + 9d = 22 + 6 Reorder the terms: -6 + 6 + -2a + 9d = 22 + 6 Combine like terms: -6 + 6 = 0 0 + -2a + 9d = 22 + 6 -2a + 9d = 22 + 6 Combine like terms: 22 + 6 = 28 -2a + 9d = 28 Add '-9d' to each side of the equation. -2a + 9d + -9d = 28 + -9d Combine like terms: 9d + -9d = 0 -2a + 0 = 28 + -9d -2a = 28 + -9d Divide each side by '-2'. a = -14 + 4.5d Simplifying a = -14 + 4.5d
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