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Simplifying 4(a + 5) = 6a + 28 Reorder the terms: 4(5 + a) = 6a + 28 (5 * 4 + a * 4) = 6a + 28 (20 + 4a) = 6a + 28 Reorder the terms: 20 + 4a = 28 + 6a Solving 20 + 4a = 28 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 20 + 4a + -6a = 28 + 6a + -6a Combine like terms: 4a + -6a = -2a 20 + -2a = 28 + 6a + -6a Combine like terms: 6a + -6a = 0 20 + -2a = 28 + 0 20 + -2a = 28 Add '-20' to each side of the equation. 20 + -20 + -2a = 28 + -20 Combine like terms: 20 + -20 = 0 0 + -2a = 28 + -20 -2a = 28 + -20 Combine like terms: 28 + -20 = 8 -2a = 8 Divide each side by '-2'. a = -4 Simplifying a = -4
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