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Simplifying 2(13a + -1) = 22(a + -1) Reorder the terms: 2(-1 + 13a) = 22(a + -1) (-1 * 2 + 13a * 2) = 22(a + -1) (-2 + 26a) = 22(a + -1) Reorder the terms: -2 + 26a = 22(-1 + a) -2 + 26a = (-1 * 22 + a * 22) -2 + 26a = (-22 + 22a) Solving -2 + 26a = -22 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. -2 + 26a + -22a = -22 + 22a + -22a Combine like terms: 26a + -22a = 4a -2 + 4a = -22 + 22a + -22a Combine like terms: 22a + -22a = 0 -2 + 4a = -22 + 0 -2 + 4a = -22 Add '2' to each side of the equation. -2 + 2 + 4a = -22 + 2 Combine like terms: -2 + 2 = 0 0 + 4a = -22 + 2 4a = -22 + 2 Combine like terms: -22 + 2 = -20 4a = -20 Divide each side by '4'. a = -5 Simplifying a = -5
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