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Simplifying 7(a + -4) + 5 = 4(a + -5) Reorder the terms: 7(-4 + a) + 5 = 4(a + -5) (-4 * 7 + a * 7) + 5 = 4(a + -5) (-28 + 7a) + 5 = 4(a + -5) Reorder the terms: -28 + 5 + 7a = 4(a + -5) Combine like terms: -28 + 5 = -23 -23 + 7a = 4(a + -5) Reorder the terms: -23 + 7a = 4(-5 + a) -23 + 7a = (-5 * 4 + a * 4) -23 + 7a = (-20 + 4a) Solving -23 + 7a = -20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -23 + 7a + -4a = -20 + 4a + -4a Combine like terms: 7a + -4a = 3a -23 + 3a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 -23 + 3a = -20 + 0 -23 + 3a = -20 Add '23' to each side of the equation. -23 + 23 + 3a = -20 + 23 Combine like terms: -23 + 23 = 0 0 + 3a = -20 + 23 3a = -20 + 23 Combine like terms: -20 + 23 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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