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Simplifying 7(a + -3) = 4a + 15 + 6 Reorder the terms: 7(-3 + a) = 4a + 15 + 6 (-3 * 7 + a * 7) = 4a + 15 + 6 (-21 + 7a) = 4a + 15 + 6 Reorder the terms: -21 + 7a = 15 + 6 + 4a Combine like terms: 15 + 6 = 21 -21 + 7a = 21 + 4a Solving -21 + 7a = 21 + 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 = 21 + 4a + -4a Combine like terms: 7a + -4a = 3a -21 + 3a = 21 + 4a + -4a Combine like terms: 4a + -4a = 0 -21 + 3a = 21 + 0 -21 + 3a = 21 Add '21' to each side of the equation. -21 + 21 + 3a = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 3a = 21 + 21 3a = 21 + 21 Combine like terms: 21 + 21 = 42 3a = 42 Divide each side by '3'. a = 14 Simplifying a = 14
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