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Simplifying 9(a + 10) = 7[a + (4 + -1a)] Reorder the terms: 9(10 + a) = 7[a + (4 + -1a)] (10 * 9 + a * 9) = 7[a + (4 + -1a)] (90 + 9a) = 7[a + (4 + -1a)] Remove parenthesis around (4 + -1a) 90 + 9a = 7[a + 4 + -1a] Reorder the terms: 90 + 9a = 7[4 + a + -1a] Combine like terms: a + -1a = 0 90 + 9a = 7[4 + 0] 90 + 9a = 7[4] Multiply 7 * 4 90 + 9a = 28 Solving 90 + 9a = 28 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 9a = 28 + -90 Combine like terms: 90 + -90 = 0 0 + 9a = 28 + -90 9a = 28 + -90 Combine like terms: 28 + -90 = -62 9a = -62 Divide each side by '9'. a = -6.888888889 Simplifying a = -6.888888889
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