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Simplifying 7(2a + -8) = 4(2a + -5) Reorder the terms: 7(-8 + 2a) = 4(2a + -5) (-8 * 7 + 2a * 7) = 4(2a + -5) (-56 + 14a) = 4(2a + -5) Reorder the terms: -56 + 14a = 4(-5 + 2a) -56 + 14a = (-5 * 4 + 2a * 4) -56 + 14a = (-20 + 8a) Solving -56 + 14a = -20 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -56 + 14a + -8a = -20 + 8a + -8a Combine like terms: 14a + -8a = 6a -56 + 6a = -20 + 8a + -8a Combine like terms: 8a + -8a = 0 -56 + 6a = -20 + 0 -56 + 6a = -20 Add '56' to each side of the equation. -56 + 56 + 6a = -20 + 56 Combine like terms: -56 + 56 = 0 0 + 6a = -20 + 56 6a = -20 + 56 Combine like terms: -20 + 56 = 36 6a = 36 Divide each side by '6'. a = 6 Simplifying a = 6
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