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Simplifying 2(a + -7) = (5 + 3a) Reorder the terms: 2(-7 + a) = (5 + 3a) (-7 * 2 + a * 2) = (5 + 3a) (-14 + 2a) = (5 + 3a) Remove parenthesis around (5 + 3a) -14 + 2a = 5 + 3a Solving -14 + 2a = 5 + 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. -14 + 2a + -3a = 5 + 3a + -3a Combine like terms: 2a + -3a = -1a -14 + -1a = 5 + 3a + -3a Combine like terms: 3a + -3a = 0 -14 + -1a = 5 + 0 -14 + -1a = 5 Add '14' to each side of the equation. -14 + 14 + -1a = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -1a = 5 + 14 -1a = 5 + 14 Combine like terms: 5 + 14 = 19 -1a = 19 Divide each side by '-1'. a = -19 Simplifying a = -19
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