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Simplifying -38 + 5a = 6(6a + 4) Reorder the terms: -38 + 5a = 6(4 + 6a) -38 + 5a = (4 * 6 + 6a * 6) -38 + 5a = (24 + 36a) Solving -38 + 5a = 24 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. -38 + 5a + -36a = 24 + 36a + -36a Combine like terms: 5a + -36a = -31a -38 + -31a = 24 + 36a + -36a Combine like terms: 36a + -36a = 0 -38 + -31a = 24 + 0 -38 + -31a = 24 Add '38' to each side of the equation. -38 + 38 + -31a = 24 + 38 Combine like terms: -38 + 38 = 0 0 + -31a = 24 + 38 -31a = 24 + 38 Combine like terms: 24 + 38 = 62 -31a = 62 Divide each side by '-31'. a = -2 Simplifying a = -2
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