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Simplifying 2(a + -3) = (a + -1) + 7 Reorder the terms: 2(-3 + a) = (a + -1) + 7 (-3 * 2 + a * 2) = (a + -1) + 7 (-6 + 2a) = (a + -1) + 7 Reorder the terms: -6 + 2a = (-1 + a) + 7 Remove parenthesis around (-1 + a) -6 + 2a = -1 + a + 7 Reorder the terms: -6 + 2a = -1 + 7 + a Combine like terms: -1 + 7 = 6 -6 + 2a = 6 + a Solving -6 + 2a = 6 + 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. -6 + 2a + -1a = 6 + a + -1a Combine like terms: 2a + -1a = 1a -6 + 1a = 6 + a + -1a Combine like terms: a + -1a = 0 -6 + 1a = 6 + 0 -6 + 1a = 6 Add '6' to each side of the equation. -6 + 6 + 1a = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1a = 6 + 6 1a = 6 + 6 Combine like terms: 6 + 6 = 12 1a = 12 Divide each side by '1'. a = 12 Simplifying a = 12
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