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Simplifying a + 30 = -3(a + 4) + -3a Reorder the terms: 30 + a = -3(a + 4) + -3a Reorder the terms: 30 + a = -3(4 + a) + -3a 30 + a = (4 * -3 + a * -3) + -3a 30 + a = (-12 + -3a) + -3a Combine like terms: -3a + -3a = -6a 30 + a = -12 + -6a Solving 30 + a = -12 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 30 + a + 6a = -12 + -6a + 6a Combine like terms: a + 6a = 7a 30 + 7a = -12 + -6a + 6a Combine like terms: -6a + 6a = 0 30 + 7a = -12 + 0 30 + 7a = -12 Add '-30' to each side of the equation. 30 + -30 + 7a = -12 + -30 Combine like terms: 30 + -30 = 0 0 + 7a = -12 + -30 7a = -12 + -30 Combine like terms: -12 + -30 = -42 7a = -42 Divide each side by '7'. a = -6 Simplifying a = -6
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