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Simplifying 8(1 + -2a) + a = -22 + -5a (1 * 8 + -2a * 8) + a = -22 + -5a (8 + -16a) + a = -22 + -5a Combine like terms: -16a + a = -15a 8 + -15a = -22 + -5a Solving 8 + -15a = -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. 8 + -15a + 5a = -22 + -5a + 5a Combine like terms: -15a + 5a = -10a 8 + -10a = -22 + -5a + 5a Combine like terms: -5a + 5a = 0 8 + -10a = -22 + 0 8 + -10a = -22 Add '-8' to each side of the equation. 8 + -8 + -10a = -22 + -8 Combine like terms: 8 + -8 = 0 0 + -10a = -22 + -8 -10a = -22 + -8 Combine like terms: -22 + -8 = -30 -10a = -30 Divide each side by '-10'. a = 3 Simplifying a = 3
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