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Simplifying -5(-2a + 7) = 1 + -6(a + -2) Reorder the terms: -5(7 + -2a) = 1 + -6(a + -2) (7 * -5 + -2a * -5) = 1 + -6(a + -2) (-35 + 10a) = 1 + -6(a + -2) Reorder the terms: -35 + 10a = 1 + -6(-2 + a) -35 + 10a = 1 + (-2 * -6 + a * -6) -35 + 10a = 1 + (12 + -6a) Combine like terms: 1 + 12 = 13 -35 + 10a = 13 + -6a Solving -35 + 10a = 13 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -35 + 10a + 6a = 13 + -6a + 6a Combine like terms: 10a + 6a = 16a -35 + 16a = 13 + -6a + 6a Combine like terms: -6a + 6a = 0 -35 + 16a = 13 + 0 -35 + 16a = 13 Add '35' to each side of the equation. -35 + 35 + 16a = 13 + 35 Combine like terms: -35 + 35 = 0 0 + 16a = 13 + 35 16a = 13 + 35 Combine like terms: 13 + 35 = 48 16a = 48 Divide each side by '16'. a = 3 Simplifying a = 3
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