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Simplifying -38 + 7a = -5(1 + -7a) -38 + 7a = (1 * -5 + -7a * -5) -38 + 7a = (-5 + 35a) Solving -38 + 7a = -5 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. -38 + 7a + -35a = -5 + 35a + -35a Combine like terms: 7a + -35a = -28a -38 + -28a = -5 + 35a + -35a Combine like terms: 35a + -35a = 0 -38 + -28a = -5 + 0 -38 + -28a = -5 Add '38' to each side of the equation. -38 + 38 + -28a = -5 + 38 Combine like terms: -38 + 38 = 0 0 + -28a = -5 + 38 -28a = -5 + 38 Combine like terms: -5 + 38 = 33 -28a = 33 Divide each side by '-28'. a = -1.178571429 Simplifying a = -1.178571429
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