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Simplifying 6(3a + 4) = 18(2a) + 6 Reorder the terms: 6(4 + 3a) = 18(2a) + 6 (4 * 6 + 3a * 6) = 18(2a) + 6 (24 + 18a) = 18(2a) + 6 Remove parenthesis around (2a) 24 + 18a = 18 * 2a + 6 Multiply 18 * 2 24 + 18a = 36a + 6 Reorder the terms: 24 + 18a = 6 + 36a Solving 24 + 18a = 6 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. 24 + 18a + -36a = 6 + 36a + -36a Combine like terms: 18a + -36a = -18a 24 + -18a = 6 + 36a + -36a Combine like terms: 36a + -36a = 0 24 + -18a = 6 + 0 24 + -18a = 6 Add '-24' to each side of the equation. 24 + -24 + -18a = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -18a = 6 + -24 -18a = 6 + -24 Combine like terms: 6 + -24 = -18 -18a = -18 Divide each side by '-18'. a = 1 Simplifying a = 1
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