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Simplifying 2a + 10 = -1(a + 2) Reorder the terms: 10 + 2a = -1(a + 2) Reorder the terms: 10 + 2a = -1(2 + a) 10 + 2a = (2 * -1 + a * -1) 10 + 2a = (-2 + -1a) Solving 10 + 2a = -2 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 10 + 2a + a = -2 + -1a + a Combine like terms: 2a + a = 3a 10 + 3a = -2 + -1a + a Combine like terms: -1a + a = 0 10 + 3a = -2 + 0 10 + 3a = -2 Add '-10' to each side of the equation. 10 + -10 + 3a = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 3a = -2 + -10 3a = -2 + -10 Combine like terms: -2 + -10 = -12 3a = -12 Divide each side by '3'. a = -4 Simplifying a = -4
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