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Simplifying 3(8a + -7) = -2(7a + 2) Reorder the terms: 3(-7 + 8a) = -2(7a + 2) (-7 * 3 + 8a * 3) = -2(7a + 2) (-21 + 24a) = -2(7a + 2) Reorder the terms: -21 + 24a = -2(2 + 7a) -21 + 24a = (2 * -2 + 7a * -2) -21 + 24a = (-4 + -14a) Solving -21 + 24a = -4 + -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. -21 + 24a + 14a = -4 + -14a + 14a Combine like terms: 24a + 14a = 38a -21 + 38a = -4 + -14a + 14a Combine like terms: -14a + 14a = 0 -21 + 38a = -4 + 0 -21 + 38a = -4 Add '21' to each side of the equation. -21 + 21 + 38a = -4 + 21 Combine like terms: -21 + 21 = 0 0 + 38a = -4 + 21 38a = -4 + 21 Combine like terms: -4 + 21 = 17 38a = 17 Divide each side by '38'. a = 0.4473684211 Simplifying a = 0.4473684211
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