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Simplifying 7(2a + -5) = 3(a + 8) Reorder the terms: 7(-5 + 2a) = 3(a + 8) (-5 * 7 + 2a * 7) = 3(a + 8) (-35 + 14a) = 3(a + 8) Reorder the terms: -35 + 14a = 3(8 + a) -35 + 14a = (8 * 3 + a * 3) -35 + 14a = (24 + 3a) Solving -35 + 14a = 24 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -35 + 14a + -3a = 24 + 3a + -3a Combine like terms: 14a + -3a = 11a -35 + 11a = 24 + 3a + -3a Combine like terms: 3a + -3a = 0 -35 + 11a = 24 + 0 -35 + 11a = 24 Add '35' to each side of the equation. -35 + 35 + 11a = 24 + 35 Combine like terms: -35 + 35 = 0 0 + 11a = 24 + 35 11a = 24 + 35 Combine like terms: 24 + 35 = 59 11a = 59 Divide each side by '11'. a = 5.363636364 Simplifying a = 5.363636364
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