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