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Simplifying 6(3a + -1) + -30 = 3(2a + -4) Reorder the terms: 6(-1 + 3a) + -30 = 3(2a + -4) (-1 * 6 + 3a * 6) + -30 = 3(2a + -4) (-6 + 18a) + -30 = 3(2a + -4) Reorder the terms: -6 + -30 + 18a = 3(2a + -4) Combine like terms: -6 + -30 = -36 -36 + 18a = 3(2a + -4) Reorder the terms: -36 + 18a = 3(-4 + 2a) -36 + 18a = (-4 * 3 + 2a * 3) -36 + 18a = (-12 + 6a) Solving -36 + 18a = -12 + 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. -36 + 18a + -6a = -12 + 6a + -6a Combine like terms: 18a + -6a = 12a -36 + 12a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 -36 + 12a = -12 + 0 -36 + 12a = -12 Add '36' to each side of the equation. -36 + 36 + 12a = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 12a = -12 + 36 12a = -12 + 36 Combine like terms: -12 + 36 = 24 12a = 24 Divide each side by '12'. a = 2 Simplifying a = 2
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