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Simplifying 4(a + 8) = 6[a + -1(5 + -1a)] Reorder the terms: 4(8 + a) = 6[a + -1(5 + -1a)] (8 * 4 + a * 4) = 6[a + -1(5 + -1a)] (32 + 4a) = 6[a + -1(5 + -1a)] 32 + 4a = 6[a + (5 * -1 + -1a * -1)] 32 + 4a = 6[a + (-5 + 1a)] Reorder the terms: 32 + 4a = 6[-5 + a + 1a] Combine like terms: a + 1a = 2a 32 + 4a = 6[-5 + 2a] 32 + 4a = [-5 * 6 + 2a * 6] 32 + 4a = [-30 + 12a] Solving 32 + 4a = -30 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 32 + 4a + -12a = -30 + 12a + -12a Combine like terms: 4a + -12a = -8a 32 + -8a = -30 + 12a + -12a Combine like terms: 12a + -12a = 0 32 + -8a = -30 + 0 32 + -8a = -30 Add '-32' to each side of the equation. 32 + -32 + -8a = -30 + -32 Combine like terms: 32 + -32 = 0 0 + -8a = -30 + -32 -8a = -30 + -32 Combine like terms: -30 + -32 = -62 -8a = -62 Divide each side by '-8'. a = 7.75 Simplifying a = 7.75
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