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Simplifying 10(2a + -1) = 2(5a + 2) Reorder the terms: 10(-1 + 2a) = 2(5a + 2) (-1 * 10 + 2a * 10) = 2(5a + 2) (-10 + 20a) = 2(5a + 2) Reorder the terms: -10 + 20a = 2(2 + 5a) -10 + 20a = (2 * 2 + 5a * 2) -10 + 20a = (4 + 10a) Solving -10 + 20a = 4 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -10 + 20a + -10a = 4 + 10a + -10a Combine like terms: 20a + -10a = 10a -10 + 10a = 4 + 10a + -10a Combine like terms: 10a + -10a = 0 -10 + 10a = 4 + 0 -10 + 10a = 4 Add '10' to each side of the equation. -10 + 10 + 10a = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 10a = 4 + 10 10a = 4 + 10 Combine like terms: 4 + 10 = 14 10a = 14 Divide each side by '10'. a = 1.4 Simplifying a = 1.4
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