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Simplifying -34 + 6a = 5(3a + 4) Reorder the terms: -34 + 6a = 5(4 + 3a) -34 + 6a = (4 * 5 + 3a * 5) -34 + 6a = (20 + 15a) Solving -34 + 6a = 20 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -34 + 6a + -15a = 20 + 15a + -15a Combine like terms: 6a + -15a = -9a -34 + -9a = 20 + 15a + -15a Combine like terms: 15a + -15a = 0 -34 + -9a = 20 + 0 -34 + -9a = 20 Add '34' to each side of the equation. -34 + 34 + -9a = 20 + 34 Combine like terms: -34 + 34 = 0 0 + -9a = 20 + 34 -9a = 20 + 34 Combine like terms: 20 + 34 = 54 -9a = 54 Divide each side by '-9'. a = -6 Simplifying a = -6
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