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Simplifying 10a + -12(-2 + 6a) = 12(1 + -5a) 10a + (-2 * -12 + 6a * -12) = 12(1 + -5a) 10a + (24 + -72a) = 12(1 + -5a) Reorder the terms: 24 + 10a + -72a = 12(1 + -5a) Combine like terms: 10a + -72a = -62a 24 + -62a = 12(1 + -5a) 24 + -62a = (1 * 12 + -5a * 12) 24 + -62a = (12 + -60a) Solving 24 + -62a = 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 + -62a + 60a = 12 + -60a + 60a Combine like terms: -62a + 60a = -2a 24 + -2a = 12 + -60a + 60a Combine like terms: -60a + 60a = 0 24 + -2a = 12 + 0 24 + -2a = 12 Add '-24' to each side of the equation. 24 + -24 + -2a = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -2a = 12 + -24 -2a = 12 + -24 Combine like terms: 12 + -24 = -12 -2a = -12 Divide each side by '-2'. a = 6 Simplifying a = 6
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