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Simplifying -17 + 6a = -7(2a + 5) Reorder the terms: -17 + 6a = -7(5 + 2a) -17 + 6a = (5 * -7 + 2a * -7) -17 + 6a = (-35 + -14a) Solving -17 + 6a = -35 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -17 + 6a + 14a = -35 + -14a + 14a Combine like terms: 6a + 14a = 20a -17 + 20a = -35 + -14a + 14a Combine like terms: -14a + 14a = 0 -17 + 20a = -35 + 0 -17 + 20a = -35 Add '17' to each side of the equation. -17 + 17 + 20a = -35 + 17 Combine like terms: -17 + 17 = 0 0 + 20a = -35 + 17 20a = -35 + 17 Combine like terms: -35 + 17 = -18 20a = -18 Divide each side by '20'. a = -0.9 Simplifying a = -0.9
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