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Simplifying 5(a + -2) + -4a = 10a + 7 Reorder the terms: 5(-2 + a) + -4a = 10a + 7 (-2 * 5 + a * 5) + -4a = 10a + 7 (-10 + 5a) + -4a = 10a + 7 Combine like terms: 5a + -4a = 1a -10 + 1a = 10a + 7 Reorder the terms: -10 + 1a = 7 + 10a Solving -10 + 1a = 7 + 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 + 1a + -10a = 7 + 10a + -10a Combine like terms: 1a + -10a = -9a -10 + -9a = 7 + 10a + -10a Combine like terms: 10a + -10a = 0 -10 + -9a = 7 + 0 -10 + -9a = 7 Add '10' to each side of the equation. -10 + 10 + -9a = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -9a = 7 + 10 -9a = 7 + 10 Combine like terms: 7 + 10 = 17 -9a = 17 Divide each side by '-9'. a = -1.888888889 Simplifying a = -1.888888889
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