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Simplifying 8(a + -9) + -4 = 2a + 8 Reorder the terms: 8(-9 + a) + -4 = 2a + 8 (-9 * 8 + a * 8) + -4 = 2a + 8 (-72 + 8a) + -4 = 2a + 8 Reorder the terms: -72 + -4 + 8a = 2a + 8 Combine like terms: -72 + -4 = -76 -76 + 8a = 2a + 8 Reorder the terms: -76 + 8a = 8 + 2a Solving -76 + 8a = 8 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -76 + 8a + -2a = 8 + 2a + -2a Combine like terms: 8a + -2a = 6a -76 + 6a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 -76 + 6a = 8 + 0 -76 + 6a = 8 Add '76' to each side of the equation. -76 + 76 + 6a = 8 + 76 Combine like terms: -76 + 76 = 0 0 + 6a = 8 + 76 6a = 8 + 76 Combine like terms: 8 + 76 = 84 6a = 84 Divide each side by '6'. a = 14 Simplifying a = 14
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