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Simplifying 4(a + -7) + 14 = 2(a + -4) Reorder the terms: 4(-7 + a) + 14 = 2(a + -4) (-7 * 4 + a * 4) + 14 = 2(a + -4) (-28 + 4a) + 14 = 2(a + -4) Reorder the terms: -28 + 14 + 4a = 2(a + -4) Combine like terms: -28 + 14 = -14 -14 + 4a = 2(a + -4) Reorder the terms: -14 + 4a = 2(-4 + a) -14 + 4a = (-4 * 2 + a * 2) -14 + 4a = (-8 + 2a) Solving -14 + 4a = -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. -14 + 4a + -2a = -8 + 2a + -2a Combine like terms: 4a + -2a = 2a -14 + 2a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -14 + 2a = -8 + 0 -14 + 2a = -8 Add '14' to each side of the equation. -14 + 14 + 2a = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 2a = -8 + 14 2a = -8 + 14 Combine like terms: -8 + 14 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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