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Simplifying 4(4a + -5) = -38 + 7a Reorder the terms: 4(-5 + 4a) = -38 + 7a (-5 * 4 + 4a * 4) = -38 + 7a (-20 + 16a) = -38 + 7a Solving -20 + 16a = -38 + 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 + 16a + -7a = -38 + 7a + -7a Combine like terms: 16a + -7a = 9a -20 + 9a = -38 + 7a + -7a Combine like terms: 7a + -7a = 0 -20 + 9a = -38 + 0 -20 + 9a = -38 Add '20' to each side of the equation. -20 + 20 + 9a = -38 + 20 Combine like terms: -20 + 20 = 0 0 + 9a = -38 + 20 9a = -38 + 20 Combine like terms: -38 + 20 = -18 9a = -18 Divide each side by '9'. a = -2 Simplifying a = -2
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