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Simplifying 10 + 2(a + 3) = 5(a + -2) Reorder the terms: 10 + 2(3 + a) = 5(a + -2) 10 + (3 * 2 + a * 2) = 5(a + -2) 10 + (6 + 2a) = 5(a + -2) Combine like terms: 10 + 6 = 16 16 + 2a = 5(a + -2) Reorder the terms: 16 + 2a = 5(-2 + a) 16 + 2a = (-2 * 5 + a * 5) 16 + 2a = (-10 + 5a) Solving 16 + 2a = -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. 16 + 2a + -5a = -10 + 5a + -5a Combine like terms: 2a + -5a = -3a 16 + -3a = -10 + 5a + -5a Combine like terms: 5a + -5a = 0 16 + -3a = -10 + 0 16 + -3a = -10 Add '-16' to each side of the equation. 16 + -16 + -3a = -10 + -16 Combine like terms: 16 + -16 = 0 0 + -3a = -10 + -16 -3a = -10 + -16 Combine like terms: -10 + -16 = -26 -3a = -26 Divide each side by '-3'. a = 8.666666667 Simplifying a = 8.666666667
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