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Simplifying -4a + 1 + 6a = -10(1 + -3a) + -3(1 + 10a) Reorder the terms: 1 + -4a + 6a = -10(1 + -3a) + -3(1 + 10a) Combine like terms: -4a + 6a = 2a 1 + 2a = -10(1 + -3a) + -3(1 + 10a) 1 + 2a = (1 * -10 + -3a * -10) + -3(1 + 10a) 1 + 2a = (-10 + 30a) + -3(1 + 10a) 1 + 2a = -10 + 30a + (1 * -3 + 10a * -3) 1 + 2a = -10 + 30a + (-3 + -30a) Reorder the terms: 1 + 2a = -10 + -3 + 30a + -30a Combine like terms: -10 + -3 = -13 1 + 2a = -13 + 30a + -30a Combine like terms: 30a + -30a = 0 1 + 2a = -13 + 0 1 + 2a = -13 Solving 1 + 2a = -13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2a = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = -13 + -1 2a = -13 + -1 Combine like terms: -13 + -1 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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