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Simplifying 5(2a + -7) = 4(2a + 3) Reorder the terms: 5(-7 + 2a) = 4(2a + 3) (-7 * 5 + 2a * 5) = 4(2a + 3) (-35 + 10a) = 4(2a + 3) Reorder the terms: -35 + 10a = 4(3 + 2a) -35 + 10a = (3 * 4 + 2a * 4) -35 + 10a = (12 + 8a) Solving -35 + 10a = 12 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -35 + 10a + -8a = 12 + 8a + -8a Combine like terms: 10a + -8a = 2a -35 + 2a = 12 + 8a + -8a Combine like terms: 8a + -8a = 0 -35 + 2a = 12 + 0 -35 + 2a = 12 Add '35' to each side of the equation. -35 + 35 + 2a = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 2a = 12 + 35 2a = 12 + 35 Combine like terms: 12 + 35 = 47 2a = 47 Divide each side by '2'. a = 23.5 Simplifying a = 23.5
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