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Simplifying 7a + 5(a + -1) = 12a + -2(a + 3) Reorder the terms: 7a + 5(-1 + a) = 12a + -2(a + 3) 7a + (-1 * 5 + a * 5) = 12a + -2(a + 3) 7a + (-5 + 5a) = 12a + -2(a + 3) Reorder the terms: -5 + 7a + 5a = 12a + -2(a + 3) Combine like terms: 7a + 5a = 12a -5 + 12a = 12a + -2(a + 3) Reorder the terms: -5 + 12a = 12a + -2(3 + a) -5 + 12a = 12a + (3 * -2 + a * -2) -5 + 12a = 12a + (-6 + -2a) Reorder the terms: -5 + 12a = -6 + 12a + -2a Combine like terms: 12a + -2a = 10a -5 + 12a = -6 + 10a Solving -5 + 12a = -6 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -5 + 12a + -10a = -6 + 10a + -10a Combine like terms: 12a + -10a = 2a -5 + 2a = -6 + 10a + -10a Combine like terms: 10a + -10a = 0 -5 + 2a = -6 + 0 -5 + 2a = -6 Add '5' to each side of the equation. -5 + 5 + 2a = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 2a = -6 + 5 2a = -6 + 5 Combine like terms: -6 + 5 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5
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