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Simplifying 3a + 10 = 4(a + 2) + -0.5a Reorder the terms: 10 + 3a = 4(a + 2) + -0.5a Reorder the terms: 10 + 3a = 4(2 + a) + -0.5a 10 + 3a = (2 * 4 + a * 4) + -0.5a 10 + 3a = (8 + 4a) + -0.5a Combine like terms: 4a + -0.5a = 3.5a 10 + 3a = 8 + 3.5a Solving 10 + 3a = 8 + 3.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.5a' to each side of the equation. 10 + 3a + -3.5a = 8 + 3.5a + -3.5a Combine like terms: 3a + -3.5a = -0.5a 10 + -0.5a = 8 + 3.5a + -3.5a Combine like terms: 3.5a + -3.5a = 0.0 10 + -0.5a = 8 + 0.0 10 + -0.5a = 8 Add '-10' to each side of the equation. 10 + -10 + -0.5a = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -0.5a = 8 + -10 -0.5a = 8 + -10 Combine like terms: 8 + -10 = -2 -0.5a = -2 Divide each side by '-0.5'. a = 4 Simplifying a = 4
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