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Simplifying 2a + -5 = 4(3a + 1) + -4 Reorder the terms: -5 + 2a = 4(3a + 1) + -4 Reorder the terms: -5 + 2a = 4(1 + 3a) + -4 -5 + 2a = (1 * 4 + 3a * 4) + -4 -5 + 2a = (4 + 12a) + -4 Reorder the terms: -5 + 2a = 4 + -4 + 12a Combine like terms: 4 + -4 = 0 -5 + 2a = 0 + 12a -5 + 2a = 12a Solving -5 + 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. -5 + 2a + -12a = 12a + -12a Combine like terms: 2a + -12a = -10a -5 + -10a = 12a + -12a Combine like terms: 12a + -12a = 0 -5 + -10a = 0 Add '5' to each side of the equation. -5 + 5 + -10a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -10a = 0 + 5 -10a = 0 + 5 Combine like terms: 0 + 5 = 5 -10a = 5 Divide each side by '-10'. a = -0.5 Simplifying a = -0.5
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