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Simplifying 7(a + -3) = 4a + 2 Reorder the terms: 7(-3 + a) = 4a + 2 (-3 * 7 + a * 7) = 4a + 2 (-21 + 7a) = 4a + 2 Reorder the terms: -21 + 7a = 2 + 4a Solving -21 + 7a = 2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -21 + 7a + -4a = 2 + 4a + -4a Combine like terms: 7a + -4a = 3a -21 + 3a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 -21 + 3a = 2 + 0 -21 + 3a = 2 Add '21' to each side of the equation. -21 + 21 + 3a = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 3a = 2 + 21 3a = 2 + 21 Combine like terms: 2 + 21 = 23 3a = 23 Divide each side by '3'. a = 7.666666667 Simplifying a = 7.666666667
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