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Simplifying 10(5a + -6) = 10a Reorder the terms: 10(-6 + 5a) = 10a (-6 * 10 + 5a * 10) = 10a (-60 + 50a) = 10a Solving -60 + 50a = 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. -60 + 50a + -10a = 10a + -10a Combine like terms: 50a + -10a = 40a -60 + 40a = 10a + -10a Combine like terms: 10a + -10a = 0 -60 + 40a = 0 Add '60' to each side of the equation. -60 + 60 + 40a = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 40a = 0 + 60 40a = 0 + 60 Combine like terms: 0 + 60 = 60 40a = 60 Divide each side by '40'. a = 1.5 Simplifying a = 1.5
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