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Simplifying 4a + 30 = 6(a + 3) Reorder the terms: 30 + 4a = 6(a + 3) Reorder the terms: 30 + 4a = 6(3 + a) 30 + 4a = (3 * 6 + a * 6) 30 + 4a = (18 + 6a) Solving 30 + 4a = 18 + 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 + 4a + -6a = 18 + 6a + -6a Combine like terms: 4a + -6a = -2a 30 + -2a = 18 + 6a + -6a Combine like terms: 6a + -6a = 0 30 + -2a = 18 + 0 30 + -2a = 18 Add '-30' to each side of the equation. 30 + -30 + -2a = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -2a = 18 + -30 -2a = 18 + -30 Combine like terms: 18 + -30 = -12 -2a = -12 Divide each side by '-2'. a = 6 Simplifying a = 6
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