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Simplifying 4(a + -8) + 18 = 2(a + -6) Reorder the terms: 4(-8 + a) + 18 = 2(a + -6) (-8 * 4 + a * 4) + 18 = 2(a + -6) (-32 + 4a) + 18 = 2(a + -6) Reorder the terms: -32 + 18 + 4a = 2(a + -6) Combine like terms: -32 + 18 = -14 -14 + 4a = 2(a + -6) Reorder the terms: -14 + 4a = 2(-6 + a) -14 + 4a = (-6 * 2 + a * 2) -14 + 4a = (-12 + 2a) Solving -14 + 4a = -12 + 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. -14 + 4a + -2a = -12 + 2a + -2a Combine like terms: 4a + -2a = 2a -14 + 2a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -14 + 2a = -12 + 0 -14 + 2a = -12 Add '14' to each side of the equation. -14 + 14 + 2a = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 2a = -12 + 14 2a = -12 + 14 Combine like terms: -12 + 14 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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