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Simplifying 4(a + -6) + 4 = 2(a + -7) Reorder the terms: 4(-6 + a) + 4 = 2(a + -7) (-6 * 4 + a * 4) + 4 = 2(a + -7) (-24 + 4a) + 4 = 2(a + -7) Reorder the terms: -24 + 4 + 4a = 2(a + -7) Combine like terms: -24 + 4 = -20 -20 + 4a = 2(a + -7) Reorder the terms: -20 + 4a = 2(-7 + a) -20 + 4a = (-7 * 2 + a * 2) -20 + 4a = (-14 + 2a) Solving -20 + 4a = -14 + 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. -20 + 4a + -2a = -14 + 2a + -2a Combine like terms: 4a + -2a = 2a -20 + 2a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -20 + 2a = -14 + 0 -20 + 2a = -14 Add '20' to each side of the equation. -20 + 20 + 2a = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = -14 + 20 2a = -14 + 20 Combine like terms: -14 + 20 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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