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Simplifying 4(a + -8) + 14 = 2(a + -5) Reorder the terms: 4(-8 + a) + 14 = 2(a + -5) (-8 * 4 + a * 4) + 14 = 2(a + -5) (-32 + 4a) + 14 = 2(a + -5) Reorder the terms: -32 + 14 + 4a = 2(a + -5) Combine like terms: -32 + 14 = -18 -18 + 4a = 2(a + -5) Reorder the terms: -18 + 4a = 2(-5 + a) -18 + 4a = (-5 * 2 + a * 2) -18 + 4a = (-10 + 2a) Solving -18 + 4a = -10 + 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. -18 + 4a + -2a = -10 + 2a + -2a Combine like terms: 4a + -2a = 2a -18 + 2a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -18 + 2a = -10 + 0 -18 + 2a = -10 Add '18' to each side of the equation. -18 + 18 + 2a = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 2a = -10 + 18 2a = -10 + 18 Combine like terms: -10 + 18 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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