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Simplifying 4(a + 1) = 6[a + -1(3 + -1a)] Reorder the terms: 4(1 + a) = 6[a + -1(3 + -1a)] (1 * 4 + a * 4) = 6[a + -1(3 + -1a)] (4 + 4a) = 6[a + -1(3 + -1a)] 4 + 4a = 6[a + (3 * -1 + -1a * -1)] 4 + 4a = 6[a + (-3 + 1a)] Reorder the terms: 4 + 4a = 6[-3 + a + 1a] Combine like terms: a + 1a = 2a 4 + 4a = 6[-3 + 2a] 4 + 4a = [-3 * 6 + 2a * 6] 4 + 4a = [-18 + 12a] Solving 4 + 4a = -18 + 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. 4 + 4a + -12a = -18 + 12a + -12a Combine like terms: 4a + -12a = -8a 4 + -8a = -18 + 12a + -12a Combine like terms: 12a + -12a = 0 4 + -8a = -18 + 0 4 + -8a = -18 Add '-4' to each side of the equation. 4 + -4 + -8a = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -8a = -18 + -4 -8a = -18 + -4 Combine like terms: -18 + -4 = -22 -8a = -22 Divide each side by '-8'. a = 2.75 Simplifying a = 2.75
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