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Simplifying 3a + -4 = 6(a + 1) + 12a + 7 Reorder the terms: -4 + 3a = 6(a + 1) + 12a + 7 Reorder the terms: -4 + 3a = 6(1 + a) + 12a + 7 -4 + 3a = (1 * 6 + a * 6) + 12a + 7 -4 + 3a = (6 + 6a) + 12a + 7 Reorder the terms: -4 + 3a = 6 + 7 + 6a + 12a Combine like terms: 6 + 7 = 13 -4 + 3a = 13 + 6a + 12a Combine like terms: 6a + 12a = 18a -4 + 3a = 13 + 18a Solving -4 + 3a = 13 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -4 + 3a + -18a = 13 + 18a + -18a Combine like terms: 3a + -18a = -15a -4 + -15a = 13 + 18a + -18a Combine like terms: 18a + -18a = 0 -4 + -15a = 13 + 0 -4 + -15a = 13 Add '4' to each side of the equation. -4 + 4 + -15a = 13 + 4 Combine like terms: -4 + 4 = 0 0 + -15a = 13 + 4 -15a = 13 + 4 Combine like terms: 13 + 4 = 17 -15a = 17 Divide each side by '-15'. a = -1.133333333 Simplifying a = -1.133333333
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