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Simplifying 6(9 + -8) + 36 = 2(a + -4) Combine like terms: 9 + -8 = 1 6(1) + 36 = 2(a + -4) Multiply 6 * 1 6 + 36 = 2(a + -4) Combine like terms: 6 + 36 = 42 42 = 2(a + -4) Reorder the terms: 42 = 2(-4 + a) 42 = (-4 * 2 + a * 2) 42 = (-8 + 2a) Solving 42 = -8 + 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. 42 + -2a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 42 + -2a = -8 + 0 42 + -2a = -8 Add '-42' to each side of the equation. 42 + -42 + -2a = -8 + -42 Combine like terms: 42 + -42 = 0 0 + -2a = -8 + -42 -2a = -8 + -42 Combine like terms: -8 + -42 = -50 -2a = -50 Divide each side by '-2'. a = 25 Simplifying a = 25
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