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Simplifying 10a + -22 = 13a + 5 Reorder the terms: -22 + 10a = 13a + 5 Reorder the terms: -22 + 10a = 5 + 13a Solving -22 + 10a = 5 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -22 + 10a + -13a = 5 + 13a + -13a Combine like terms: 10a + -13a = -3a -22 + -3a = 5 + 13a + -13a Combine like terms: 13a + -13a = 0 -22 + -3a = 5 + 0 -22 + -3a = 5 Add '22' to each side of the equation. -22 + 22 + -3a = 5 + 22 Combine like terms: -22 + 22 = 0 0 + -3a = 5 + 22 -3a = 5 + 22 Combine like terms: 5 + 22 = 27 -3a = 27 Divide each side by '-3'. a = -9 Simplifying a = -9
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