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Simplifying 2(a + -7) = 6(1 + a) Reorder the terms: 2(-7 + a) = 6(1 + a) (-7 * 2 + a * 2) = 6(1 + a) (-14 + 2a) = 6(1 + a) -14 + 2a = (1 * 6 + a * 6) -14 + 2a = (6 + 6a) Solving -14 + 2a = 6 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -14 + 2a + -6a = 6 + 6a + -6a Combine like terms: 2a + -6a = -4a -14 + -4a = 6 + 6a + -6a Combine like terms: 6a + -6a = 0 -14 + -4a = 6 + 0 -14 + -4a = 6 Add '14' to each side of the equation. -14 + 14 + -4a = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -4a = 6 + 14 -4a = 6 + 14 Combine like terms: 6 + 14 = 20 -4a = 20 Divide each side by '-4'. a = -5 Simplifying a = -5
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