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Simplifying 6(3a + 1) + -30 = 3(2a + -12) Reorder the terms: 6(1 + 3a) + -30 = 3(2a + -12) (1 * 6 + 3a * 6) + -30 = 3(2a + -12) (6 + 18a) + -30 = 3(2a + -12) Reorder the terms: 6 + -30 + 18a = 3(2a + -12) Combine like terms: 6 + -30 = -24 -24 + 18a = 3(2a + -12) Reorder the terms: -24 + 18a = 3(-12 + 2a) -24 + 18a = (-12 * 3 + 2a * 3) -24 + 18a = (-36 + 6a) Solving -24 + 18a = -36 + 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. -24 + 18a + -6a = -36 + 6a + -6a Combine like terms: 18a + -6a = 12a -24 + 12a = -36 + 6a + -6a Combine like terms: 6a + -6a = 0 -24 + 12a = -36 + 0 -24 + 12a = -36 Add '24' to each side of the equation. -24 + 24 + 12a = -36 + 24 Combine like terms: -24 + 24 = 0 0 + 12a = -36 + 24 12a = -36 + 24 Combine like terms: -36 + 24 = -12 12a = -12 Divide each side by '12'. a = -1 Simplifying a = -1
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