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Simplifying -13a + -22 = -5(1 + 6a) Reorder the terms: -22 + -13a = -5(1 + 6a) -22 + -13a = (1 * -5 + 6a * -5) -22 + -13a = (-5 + -30a) Solving -22 + -13a = -5 + -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. -22 + -13a + 30a = -5 + -30a + 30a Combine like terms: -13a + 30a = 17a -22 + 17a = -5 + -30a + 30a Combine like terms: -30a + 30a = 0 -22 + 17a = -5 + 0 -22 + 17a = -5 Add '22' to each side of the equation. -22 + 22 + 17a = -5 + 22 Combine like terms: -22 + 22 = 0 0 + 17a = -5 + 22 17a = -5 + 22 Combine like terms: -5 + 22 = 17 17a = 17 Divide each side by '17'. a = 1 Simplifying a = 1
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