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Simplifying 3(a + 6) = 10[a + -1(5 + -1a)] Reorder the terms: 3(6 + a) = 10[a + -1(5 + -1a)] (6 * 3 + a * 3) = 10[a + -1(5 + -1a)] (18 + 3a) = 10[a + -1(5 + -1a)] 18 + 3a = 10[a + (5 * -1 + -1a * -1)] 18 + 3a = 10[a + (-5 + 1a)] Reorder the terms: 18 + 3a = 10[-5 + a + 1a] Combine like terms: a + 1a = 2a 18 + 3a = 10[-5 + 2a] 18 + 3a = [-5 * 10 + 2a * 10] 18 + 3a = [-50 + 20a] Solving 18 + 3a = -50 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 18 + 3a + -20a = -50 + 20a + -20a Combine like terms: 3a + -20a = -17a 18 + -17a = -50 + 20a + -20a Combine like terms: 20a + -20a = 0 18 + -17a = -50 + 0 18 + -17a = -50 Add '-18' to each side of the equation. 18 + -18 + -17a = -50 + -18 Combine like terms: 18 + -18 = 0 0 + -17a = -50 + -18 -17a = -50 + -18 Combine like terms: -50 + -18 = -68 -17a = -68 Divide each side by '-17'. a = 4 Simplifying a = 4
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