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Simplifying 2(a + -8) + 18 = 7(a + 2) + -3a Reorder the terms: 2(-8 + a) + 18 = 7(a + 2) + -3a (-8 * 2 + a * 2) + 18 = 7(a + 2) + -3a (-16 + 2a) + 18 = 7(a + 2) + -3a Reorder the terms: -16 + 18 + 2a = 7(a + 2) + -3a Combine like terms: -16 + 18 = 2 2 + 2a = 7(a + 2) + -3a Reorder the terms: 2 + 2a = 7(2 + a) + -3a 2 + 2a = (2 * 7 + a * 7) + -3a 2 + 2a = (14 + 7a) + -3a Combine like terms: 7a + -3a = 4a 2 + 2a = 14 + 4a Solving 2 + 2a = 14 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 2 + 2a + -4a = 14 + 4a + -4a Combine like terms: 2a + -4a = -2a 2 + -2a = 14 + 4a + -4a Combine like terms: 4a + -4a = 0 2 + -2a = 14 + 0 2 + -2a = 14 Add '-2' to each side of the equation. 2 + -2 + -2a = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -2a = 14 + -2 -2a = 14 + -2 Combine like terms: 14 + -2 = 12 -2a = 12 Divide each side by '-2'. a = -6 Simplifying a = -6
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