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Simplifying 3a + 5 = -9(-5a + -6) + -7 Reorder the terms: 5 + 3a = -9(-5a + -6) + -7 Reorder the terms: 5 + 3a = -9(-6 + -5a) + -7 5 + 3a = (-6 * -9 + -5a * -9) + -7 5 + 3a = (54 + 45a) + -7 Reorder the terms: 5 + 3a = 54 + -7 + 45a Combine like terms: 54 + -7 = 47 5 + 3a = 47 + 45a Solving 5 + 3a = 47 + 45a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45a' to each side of the equation. 5 + 3a + -45a = 47 + 45a + -45a Combine like terms: 3a + -45a = -42a 5 + -42a = 47 + 45a + -45a Combine like terms: 45a + -45a = 0 5 + -42a = 47 + 0 5 + -42a = 47 Add '-5' to each side of the equation. 5 + -5 + -42a = 47 + -5 Combine like terms: 5 + -5 = 0 0 + -42a = 47 + -5 -42a = 47 + -5 Combine like terms: 47 + -5 = 42 -42a = 42 Divide each side by '-42'. a = -1 Simplifying a = -1
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