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Simplifying 2a + 3(a + -7) = a + 3 Reorder the terms: 2a + 3(-7 + a) = a + 3 2a + (-7 * 3 + a * 3) = a + 3 2a + (-21 + 3a) = a + 3 Reorder the terms: -21 + 2a + 3a = a + 3 Combine like terms: 2a + 3a = 5a -21 + 5a = a + 3 Reorder the terms: -21 + 5a = 3 + a Solving -21 + 5a = 3 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -21 + 5a + -1a = 3 + a + -1a Combine like terms: 5a + -1a = 4a -21 + 4a = 3 + a + -1a Combine like terms: a + -1a = 0 -21 + 4a = 3 + 0 -21 + 4a = 3 Add '21' to each side of the equation. -21 + 21 + 4a = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 4a = 3 + 21 4a = 3 + 21 Combine like terms: 3 + 21 = 24 4a = 24 Divide each side by '4'. a = 6 Simplifying a = 6
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