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Simplifying 9a + 7 = 10(a + -1) + -4(1 + -5a) Reorder the terms: 7 + 9a = 10(a + -1) + -4(1 + -5a) Reorder the terms: 7 + 9a = 10(-1 + a) + -4(1 + -5a) 7 + 9a = (-1 * 10 + a * 10) + -4(1 + -5a) 7 + 9a = (-10 + 10a) + -4(1 + -5a) 7 + 9a = -10 + 10a + (1 * -4 + -5a * -4) 7 + 9a = -10 + 10a + (-4 + 20a) Reorder the terms: 7 + 9a = -10 + -4 + 10a + 20a Combine like terms: -10 + -4 = -14 7 + 9a = -14 + 10a + 20a Combine like terms: 10a + 20a = 30a 7 + 9a = -14 + 30a Solving 7 + 9a = -14 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. 7 + 9a + -30a = -14 + 30a + -30a Combine like terms: 9a + -30a = -21a 7 + -21a = -14 + 30a + -30a Combine like terms: 30a + -30a = 0 7 + -21a = -14 + 0 7 + -21a = -14 Add '-7' to each side of the equation. 7 + -7 + -21a = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -21a = -14 + -7 -21a = -14 + -7 Combine like terms: -14 + -7 = -21 -21a = -21 Divide each side by '-21'. a = 1 Simplifying a = 1
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