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Simplifying (5 + 3a) + -1(10a + -5) = -22 Remove parenthesis around (5 + 3a) 5 + 3a + -1(10a + -5) = -22 Reorder the terms: 5 + 3a + -1(-5 + 10a) = -22 5 + 3a + (-5 * -1 + 10a * -1) = -22 5 + 3a + (5 + -10a) = -22 Reorder the terms: 5 + 5 + 3a + -10a = -22 Combine like terms: 5 + 5 = 10 10 + 3a + -10a = -22 Combine like terms: 3a + -10a = -7a 10 + -7a = -22 Solving 10 + -7a = -22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7a = -22 + -10 Combine like terms: 10 + -10 = 0 0 + -7a = -22 + -10 -7a = -22 + -10 Combine like terms: -22 + -10 = -32 -7a = -32 Divide each side by '-7'. a = 4.571428571 Simplifying a = 4.571428571
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