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Simplifying -4(7a + 4) = 30 + -5a Reorder the terms: -4(4 + 7a) = 30 + -5a (4 * -4 + 7a * -4) = 30 + -5a (-16 + -28a) = 30 + -5a Solving -16 + -28a = 30 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -16 + -28a + 5a = 30 + -5a + 5a Combine like terms: -28a + 5a = -23a -16 + -23a = 30 + -5a + 5a Combine like terms: -5a + 5a = 0 -16 + -23a = 30 + 0 -16 + -23a = 30 Add '16' to each side of the equation. -16 + 16 + -23a = 30 + 16 Combine like terms: -16 + 16 = 0 0 + -23a = 30 + 16 -23a = 30 + 16 Combine like terms: 30 + 16 = 46 -23a = 46 Divide each side by '-23'. a = -2 Simplifying a = -2
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