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Simplifying 6(2a + -3) = 10a + 4 Reorder the terms: 6(-3 + 2a) = 10a + 4 (-3 * 6 + 2a * 6) = 10a + 4 (-18 + 12a) = 10a + 4 Reorder the terms: -18 + 12a = 4 + 10a Solving -18 + 12a = 4 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -18 + 12a + -10a = 4 + 10a + -10a Combine like terms: 12a + -10a = 2a -18 + 2a = 4 + 10a + -10a Combine like terms: 10a + -10a = 0 -18 + 2a = 4 + 0 -18 + 2a = 4 Add '18' to each side of the equation. -18 + 18 + 2a = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 2a = 4 + 18 2a = 4 + 18 Combine like terms: 4 + 18 = 22 2a = 22 Divide each side by '2'. a = 11 Simplifying a = 11
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