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Simplifying 3a + 10 = 5(a + -2) Reorder the terms: 10 + 3a = 5(a + -2) Reorder the terms: 10 + 3a = 5(-2 + a) 10 + 3a = (-2 * 5 + a * 5) 10 + 3a = (-10 + 5a) Solving 10 + 3a = -10 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 10 + 3a + -5a = -10 + 5a + -5a Combine like terms: 3a + -5a = -2a 10 + -2a = -10 + 5a + -5a Combine like terms: 5a + -5a = 0 10 + -2a = -10 + 0 10 + -2a = -10 Add '-10' to each side of the equation. 10 + -10 + -2a = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -2a = -10 + -10 -2a = -10 + -10 Combine like terms: -10 + -10 = -20 -2a = -20 Divide each side by '-2'. a = 10 Simplifying a = 10
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