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Simplifying 5(3a + -1) + -6a = 3a + -2 Reorder the terms: 5(-1 + 3a) + -6a = 3a + -2 (-1 * 5 + 3a * 5) + -6a = 3a + -2 (-5 + 15a) + -6a = 3a + -2 Combine like terms: 15a + -6a = 9a -5 + 9a = 3a + -2 Reorder the terms: -5 + 9a = -2 + 3a Solving -5 + 9a = -2 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -5 + 9a + -3a = -2 + 3a + -3a Combine like terms: 9a + -3a = 6a -5 + 6a = -2 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 6a = -2 + 0 -5 + 6a = -2 Add '5' to each side of the equation. -5 + 5 + 6a = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 6a = -2 + 5 6a = -2 + 5 Combine like terms: -2 + 5 = 3 6a = 3 Divide each side by '6'. a = 0.5 Simplifying a = 0.5
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