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Simplifying -4(8a + 7) = 23 + 5a Reorder the terms: -4(7 + 8a) = 23 + 5a (7 * -4 + 8a * -4) = 23 + 5a (-28 + -32a) = 23 + 5a Solving -28 + -32a = 23 + 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. -28 + -32a + -5a = 23 + 5a + -5a Combine like terms: -32a + -5a = -37a -28 + -37a = 23 + 5a + -5a Combine like terms: 5a + -5a = 0 -28 + -37a = 23 + 0 -28 + -37a = 23 Add '28' to each side of the equation. -28 + 28 + -37a = 23 + 28 Combine like terms: -28 + 28 = 0 0 + -37a = 23 + 28 -37a = 23 + 28 Combine like terms: 23 + 28 = 51 -37a = 51 Divide each side by '-37'. a = -1.378378378 Simplifying a = -1.378378378
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