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Simplifying -10a + 40 + -22a = 11a + -59 + -7a Reorder the terms: 40 + -10a + -22a = 11a + -59 + -7a Combine like terms: -10a + -22a = -32a 40 + -32a = 11a + -59 + -7a Reorder the terms: 40 + -32a = -59 + 11a + -7a Combine like terms: 11a + -7a = 4a 40 + -32a = -59 + 4a Solving 40 + -32a = -59 + 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. 40 + -32a + -4a = -59 + 4a + -4a Combine like terms: -32a + -4a = -36a 40 + -36a = -59 + 4a + -4a Combine like terms: 4a + -4a = 0 40 + -36a = -59 + 0 40 + -36a = -59 Add '-40' to each side of the equation. 40 + -40 + -36a = -59 + -40 Combine like terms: 40 + -40 = 0 0 + -36a = -59 + -40 -36a = -59 + -40 Combine like terms: -59 + -40 = -99 -36a = -99 Divide each side by '-36'. a = 2.75 Simplifying a = 2.75
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