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Simplifying 5(-6a + 7) = -2a + 7 Reorder the terms: 5(7 + -6a) = -2a + 7 (7 * 5 + -6a * 5) = -2a + 7 (35 + -30a) = -2a + 7 Reorder the terms: 35 + -30a = 7 + -2a Solving 35 + -30a = 7 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 35 + -30a + 2a = 7 + -2a + 2a Combine like terms: -30a + 2a = -28a 35 + -28a = 7 + -2a + 2a Combine like terms: -2a + 2a = 0 35 + -28a = 7 + 0 35 + -28a = 7 Add '-35' to each side of the equation. 35 + -35 + -28a = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -28a = 7 + -35 -28a = 7 + -35 Combine like terms: 7 + -35 = -28 -28a = -28 Divide each side by '-28'. a = 1 Simplifying a = 1
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