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Simplifying 6(3a + 1) + -30 = 3(12a + -4) Reorder the terms: 6(1 + 3a) + -30 = 3(12a + -4) (1 * 6 + 3a * 6) + -30 = 3(12a + -4) (6 + 18a) + -30 = 3(12a + -4) Reorder the terms: 6 + -30 + 18a = 3(12a + -4) Combine like terms: 6 + -30 = -24 -24 + 18a = 3(12a + -4) Reorder the terms: -24 + 18a = 3(-4 + 12a) -24 + 18a = (-4 * 3 + 12a * 3) -24 + 18a = (-12 + 36a) Solving -24 + 18a = -12 + 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 = -12 + 36a + -36a Combine like terms: 18a + -36a = -18a -24 + -18a = -12 + 36a + -36a Combine like terms: 36a + -36a = 0 -24 + -18a = -12 + 0 -24 + -18a = -12 Add '24' to each side of the equation. -24 + 24 + -18a = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -18a = -12 + 24 -18a = -12 + 24 Combine like terms: -12 + 24 = 12 -18a = 12 Divide each side by '-18'. a = -0.6666666667 Simplifying a = -0.6666666667
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