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Simplifying 7(3a + -2) = 7 + 6(2a + 7) Reorder the terms: 7(-2 + 3a) = 7 + 6(2a + 7) (-2 * 7 + 3a * 7) = 7 + 6(2a + 7) (-14 + 21a) = 7 + 6(2a + 7) Reorder the terms: -14 + 21a = 7 + 6(7 + 2a) -14 + 21a = 7 + (7 * 6 + 2a * 6) -14 + 21a = 7 + (42 + 12a) Combine like terms: 7 + 42 = 49 -14 + 21a = 49 + 12a Solving -14 + 21a = 49 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -14 + 21a + -12a = 49 + 12a + -12a Combine like terms: 21a + -12a = 9a -14 + 9a = 49 + 12a + -12a Combine like terms: 12a + -12a = 0 -14 + 9a = 49 + 0 -14 + 9a = 49 Add '14' to each side of the equation. -14 + 14 + 9a = 49 + 14 Combine like terms: -14 + 14 = 0 0 + 9a = 49 + 14 9a = 49 + 14 Combine like terms: 49 + 14 = 63 9a = 63 Divide each side by '9'. a = 7 Simplifying a = 7
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