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Simplifying 10(a + 1) + -14a = 9(4a + -1) Reorder the terms: 10(1 + a) + -14a = 9(4a + -1) (1 * 10 + a * 10) + -14a = 9(4a + -1) (10 + 10a) + -14a = 9(4a + -1) Combine like terms: 10a + -14a = -4a 10 + -4a = 9(4a + -1) Reorder the terms: 10 + -4a = 9(-1 + 4a) 10 + -4a = (-1 * 9 + 4a * 9) 10 + -4a = (-9 + 36a) Solving 10 + -4a = -9 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. 10 + -4a + -36a = -9 + 36a + -36a Combine like terms: -4a + -36a = -40a 10 + -40a = -9 + 36a + -36a Combine like terms: 36a + -36a = 0 10 + -40a = -9 + 0 10 + -40a = -9 Add '-10' to each side of the equation. 10 + -10 + -40a = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -40a = -9 + -10 -40a = -9 + -10 Combine like terms: -9 + -10 = -19 -40a = -19 Divide each side by '-40'. a = 0.475 Simplifying a = 0.475
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