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Simplifying 7 + 2a = -5(a + 6) Reorder the terms: 7 + 2a = -5(6 + a) 7 + 2a = (6 * -5 + a * -5) 7 + 2a = (-30 + -5a) Solving 7 + 2a = -30 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 7 + 2a + 5a = -30 + -5a + 5a Combine like terms: 2a + 5a = 7a 7 + 7a = -30 + -5a + 5a Combine like terms: -5a + 5a = 0 7 + 7a = -30 + 0 7 + 7a = -30 Add '-7' to each side of the equation. 7 + -7 + 7a = -30 + -7 Combine like terms: 7 + -7 = 0 0 + 7a = -30 + -7 7a = -30 + -7 Combine like terms: -30 + -7 = -37 7a = -37 Divide each side by '7'. a = -5.285714286 Simplifying a = -5.285714286
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