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Simplifying 6(3a + 1) + -30 = 3(20a + -4) Reorder the terms: 6(1 + 3a) + -30 = 3(20a + -4) (1 * 6 + 3a * 6) + -30 = 3(20a + -4) (6 + 18a) + -30 = 3(20a + -4) Reorder the terms: 6 + -30 + 18a = 3(20a + -4) Combine like terms: 6 + -30 = -24 -24 + 18a = 3(20a + -4) Reorder the terms: -24 + 18a = 3(-4 + 20a) -24 + 18a = (-4 * 3 + 20a * 3) -24 + 18a = (-12 + 60a) Solving -24 + 18a = -12 + 60a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60a' to each side of the equation. -24 + 18a + -60a = -12 + 60a + -60a Combine like terms: 18a + -60a = -42a -24 + -42a = -12 + 60a + -60a Combine like terms: 60a + -60a = 0 -24 + -42a = -12 + 0 -24 + -42a = -12 Add '24' to each side of the equation. -24 + 24 + -42a = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -42a = -12 + 24 -42a = -12 + 24 Combine like terms: -12 + 24 = 12 -42a = 12 Divide each side by '-42'. a = -0.2857142857 Simplifying a = -0.2857142857
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