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Simplifying 5(a + 4) = 7(a + -6) Reorder the terms: 5(4 + a) = 7(a + -6) (4 * 5 + a * 5) = 7(a + -6) (20 + 5a) = 7(a + -6) Reorder the terms: 20 + 5a = 7(-6 + a) 20 + 5a = (-6 * 7 + a * 7) 20 + 5a = (-42 + 7a) Solving 20 + 5a = -42 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 20 + 5a + -7a = -42 + 7a + -7a Combine like terms: 5a + -7a = -2a 20 + -2a = -42 + 7a + -7a Combine like terms: 7a + -7a = 0 20 + -2a = -42 + 0 20 + -2a = -42 Add '-20' to each side of the equation. 20 + -20 + -2a = -42 + -20 Combine like terms: 20 + -20 = 0 0 + -2a = -42 + -20 -2a = -42 + -20 Combine like terms: -42 + -20 = -62 -2a = -62 Divide each side by '-2'. a = 31 Simplifying a = 31
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