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Simplifying (a + 4) = 8[a + -1(10 + -1a)] Reorder the terms: (4 + a) = 8[a + -1(10 + -1a)] Remove parenthesis around (4 + a) 4 + a = 8[a + -1(10 + -1a)] 4 + a = 8[a + (10 * -1 + -1a * -1)] 4 + a = 8[a + (-10 + 1a)] Reorder the terms: 4 + a = 8[-10 + a + 1a] Combine like terms: a + 1a = 2a 4 + a = 8[-10 + 2a] 4 + a = [-10 * 8 + 2a * 8] 4 + a = [-80 + 16a] Solving 4 + a = -80 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 4 + a + -16a = -80 + 16a + -16a Combine like terms: a + -16a = -15a 4 + -15a = -80 + 16a + -16a Combine like terms: 16a + -16a = 0 4 + -15a = -80 + 0 4 + -15a = -80 Add '-4' to each side of the equation. 4 + -4 + -15a = -80 + -4 Combine like terms: 4 + -4 = 0 0 + -15a = -80 + -4 -15a = -80 + -4 Combine like terms: -80 + -4 = -84 -15a = -84 Divide each side by '-15'. a = 5.6 Simplifying a = 5.6
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