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Simplifying 5[12 + -6(6 + -3a) + -2a] = 2(1 + -1a) 5[12 + (6 * -6 + -3a * -6) + -2a] = 2(1 + -1a) 5[12 + (-36 + 18a) + -2a] = 2(1 + -1a) Combine like terms: 12 + -36 = -24 5[-24 + 18a + -2a] = 2(1 + -1a) Combine like terms: 18a + -2a = 16a 5[-24 + 16a] = 2(1 + -1a) [-24 * 5 + 16a * 5] = 2(1 + -1a) [-120 + 80a] = 2(1 + -1a) -120 + 80a = (1 * 2 + -1a * 2) -120 + 80a = (2 + -2a) Solving -120 + 80a = 2 + -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. -120 + 80a + 2a = 2 + -2a + 2a Combine like terms: 80a + 2a = 82a -120 + 82a = 2 + -2a + 2a Combine like terms: -2a + 2a = 0 -120 + 82a = 2 + 0 -120 + 82a = 2 Add '120' to each side of the equation. -120 + 120 + 82a = 2 + 120 Combine like terms: -120 + 120 = 0 0 + 82a = 2 + 120 82a = 2 + 120 Combine like terms: 2 + 120 = 122 82a = 122 Divide each side by '82'. a = 1.487804878 Simplifying a = 1.487804878
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