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Simplifying 2(7a + 1) = 2a + -10 Reorder the terms: 2(1 + 7a) = 2a + -10 (1 * 2 + 7a * 2) = 2a + -10 (2 + 14a) = 2a + -10 Reorder the terms: 2 + 14a = -10 + 2a Solving 2 + 14a = -10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 2 + 14a + -2a = -10 + 2a + -2a Combine like terms: 14a + -2a = 12a 2 + 12a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 2 + 12a = -10 + 0 2 + 12a = -10 Add '-2' to each side of the equation. 2 + -2 + 12a = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 12a = -10 + -2 12a = -10 + -2 Combine like terms: -10 + -2 = -12 12a = -12 Divide each side by '12'. a = -1 Simplifying a = -1
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