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Simplifying 7(4 + -1a) = 2a + a + -12 (4 * 7 + -1a * 7) = 2a + a + -12 (28 + -7a) = 2a + a + -12 Reorder the terms: 28 + -7a = -12 + 2a + a Combine like terms: 2a + a = 3a 28 + -7a = -12 + 3a Solving 28 + -7a = -12 + 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. 28 + -7a + -3a = -12 + 3a + -3a Combine like terms: -7a + -3a = -10a 28 + -10a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 28 + -10a = -12 + 0 28 + -10a = -12 Add '-28' to each side of the equation. 28 + -28 + -10a = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -10a = -12 + -28 -10a = -12 + -28 Combine like terms: -12 + -28 = -40 -10a = -40 Divide each side by '-10'. a = 4 Simplifying a = 4
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