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Simplifying 5(3 + a) = -7a + -33 (3 * 5 + a * 5) = -7a + -33 (15 + 5a) = -7a + -33 Reorder the terms: 15 + 5a = -33 + -7a Solving 15 + 5a = -33 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 15 + 5a + 7a = -33 + -7a + 7a Combine like terms: 5a + 7a = 12a 15 + 12a = -33 + -7a + 7a Combine like terms: -7a + 7a = 0 15 + 12a = -33 + 0 15 + 12a = -33 Add '-15' to each side of the equation. 15 + -15 + 12a = -33 + -15 Combine like terms: 15 + -15 = 0 0 + 12a = -33 + -15 12a = -33 + -15 Combine like terms: -33 + -15 = -48 12a = -48 Divide each side by '12'. a = -4 Simplifying a = -4
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