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Simplifying 7(2a + -3) = 3(2 + a) Reorder the terms: 7(-3 + 2a) = 3(2 + a) (-3 * 7 + 2a * 7) = 3(2 + a) (-21 + 14a) = 3(2 + a) -21 + 14a = (2 * 3 + a * 3) -21 + 14a = (6 + 3a) Solving -21 + 14a = 6 + 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. -21 + 14a + -3a = 6 + 3a + -3a Combine like terms: 14a + -3a = 11a -21 + 11a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 -21 + 11a = 6 + 0 -21 + 11a = 6 Add '21' to each side of the equation. -21 + 21 + 11a = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 11a = 6 + 21 11a = 6 + 21 Combine like terms: 6 + 21 = 27 11a = 27 Divide each side by '11'. a = 2.454545455 Simplifying a = 2.454545455
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