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Simplifying 1 * 6(a + 5) = 1 * 2(7 + a) Reorder the terms: 1 * 6(5 + a) = 1 * 2(7 + a) Multiply 1 * 6 6(5 + a) = 1 * 2(7 + a) (5 * 6 + a * 6) = 1 * 2(7 + a) (30 + 6a) = 1 * 2(7 + a) Multiply 1 * 2 30 + 6a = 2(7 + a) 30 + 6a = (7 * 2 + a * 2) 30 + 6a = (14 + 2a) Solving 30 + 6a = 14 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 30 + 6a + -2a = 14 + 2a + -2a Combine like terms: 6a + -2a = 4a 30 + 4a = 14 + 2a + -2a Combine like terms: 2a + -2a = 0 30 + 4a = 14 + 0 30 + 4a = 14 Add '-30' to each side of the equation. 30 + -30 + 4a = 14 + -30 Combine like terms: 30 + -30 = 0 0 + 4a = 14 + -30 4a = 14 + -30 Combine like terms: 14 + -30 = -16 4a = -16 Divide each side by '4'. a = -4 Simplifying a = -4
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