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Simplifying (5 + 3a) + -1(10a + -15) = -22 Remove parenthesis around (5 + 3a) 5 + 3a + -1(10a + -15) = -22 Reorder the terms: 5 + 3a + -1(-15 + 10a) = -22 5 + 3a + (-15 * -1 + 10a * -1) = -22 5 + 3a + (15 + -10a) = -22 Reorder the terms: 5 + 15 + 3a + -10a = -22 Combine like terms: 5 + 15 = 20 20 + 3a + -10a = -22 Combine like terms: 3a + -10a = -7a 20 + -7a = -22 Solving 20 + -7a = -22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -7a = -22 + -20 Combine like terms: 20 + -20 = 0 0 + -7a = -22 + -20 -7a = -22 + -20 Combine like terms: -22 + -20 = -42 -7a = -42 Divide each side by '-7'. a = 6 Simplifying a = 6
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