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Simplifying 5[12(6 + -3a) + -2a] = 2(1 + -1a) 5[(6 * 12 + -3a * 12) + -2a] = 2(1 + -1a) 5[(72 + -36a) + -2a] = 2(1 + -1a) Combine like terms: -36a + -2a = -38a 5[72 + -38a] = 2(1 + -1a) [72 * 5 + -38a * 5] = 2(1 + -1a) [360 + -190a] = 2(1 + -1a) 360 + -190a = (1 * 2 + -1a * 2) 360 + -190a = (2 + -2a) Solving 360 + -190a = 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. 360 + -190a + 2a = 2 + -2a + 2a Combine like terms: -190a + 2a = -188a 360 + -188a = 2 + -2a + 2a Combine like terms: -2a + 2a = 0 360 + -188a = 2 + 0 360 + -188a = 2 Add '-360' to each side of the equation. 360 + -360 + -188a = 2 + -360 Combine like terms: 360 + -360 = 0 0 + -188a = 2 + -360 -188a = 2 + -360 Combine like terms: 2 + -360 = -358 -188a = -358 Divide each side by '-188'. a = 1.904255319 Simplifying a = 1.904255319
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