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Simplifying a + 30 = -3(a + 4) + -3 Reorder the terms: 30 + a = -3(a + 4) + -3 Reorder the terms: 30 + a = -3(4 + a) + -3 30 + a = (4 * -3 + a * -3) + -3 30 + a = (-12 + -3a) + -3 Reorder the terms: 30 + a = -12 + -3 + -3a Combine like terms: -12 + -3 = -15 30 + a = -15 + -3a Solving 30 + a = -15 + -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. 30 + a + 3a = -15 + -3a + 3a Combine like terms: a + 3a = 4a 30 + 4a = -15 + -3a + 3a Combine like terms: -3a + 3a = 0 30 + 4a = -15 + 0 30 + 4a = -15 Add '-30' to each side of the equation. 30 + -30 + 4a = -15 + -30 Combine like terms: 30 + -30 = 0 0 + 4a = -15 + -30 4a = -15 + -30 Combine like terms: -15 + -30 = -45 4a = -45 Divide each side by '4'. a = -11.25 Simplifying a = -11.25
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