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Simplifying 2(5a + -2) = 5(a + 3) Reorder the terms: 2(-2 + 5a) = 5(a + 3) (-2 * 2 + 5a * 2) = 5(a + 3) (-4 + 10a) = 5(a + 3) Reorder the terms: -4 + 10a = 5(3 + a) -4 + 10a = (3 * 5 + a * 5) -4 + 10a = (15 + 5a) Solving -4 + 10a = 15 + 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. -4 + 10a + -5a = 15 + 5a + -5a Combine like terms: 10a + -5a = 5a -4 + 5a = 15 + 5a + -5a Combine like terms: 5a + -5a = 0 -4 + 5a = 15 + 0 -4 + 5a = 15 Add '4' to each side of the equation. -4 + 4 + 5a = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 5a = 15 + 4 5a = 15 + 4 Combine like terms: 15 + 4 = 19 5a = 19 Divide each side by '5'. a = 3.8 Simplifying a = 3.8
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