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Simplifying -8(-3a + 2) + -2a = 8a + 40 Reorder the terms: -8(2 + -3a) + -2a = 8a + 40 (2 * -8 + -3a * -8) + -2a = 8a + 40 (-16 + 24a) + -2a = 8a + 40 Combine like terms: 24a + -2a = 22a -16 + 22a = 8a + 40 Reorder the terms: -16 + 22a = 40 + 8a Solving -16 + 22a = 40 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -16 + 22a + -8a = 40 + 8a + -8a Combine like terms: 22a + -8a = 14a -16 + 14a = 40 + 8a + -8a Combine like terms: 8a + -8a = 0 -16 + 14a = 40 + 0 -16 + 14a = 40 Add '16' to each side of the equation. -16 + 16 + 14a = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 14a = 40 + 16 14a = 40 + 16 Combine like terms: 40 + 16 = 56 14a = 56 Divide each side by '14'. a = 4 Simplifying a = 4
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