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Simplifying -2a + 3 = 3(1 + -4a) Reorder the terms: 3 + -2a = 3(1 + -4a) 3 + -2a = (1 * 3 + -4a * 3) 3 + -2a = (3 + -12a) Add '-3' to each side of the equation. 3 + -3 + -2a = 3 + -3 + -12a Combine like terms: 3 + -3 = 0 0 + -2a = 3 + -3 + -12a -2a = 3 + -3 + -12a Combine like terms: 3 + -3 = 0 -2a = 0 + -12a -2a = -12a Solving -2a = -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. -2a + 12a = -12a + 12a Combine like terms: -2a + 12a = 10a 10a = -12a + 12a Combine like terms: -12a + 12a = 0 10a = 0 Divide each side by '10'. a = 0.0 Simplifying a = 0.0
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