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Simplifying -23 + 3a = 7(8a + -5) Reorder the terms: -23 + 3a = 7(-5 + 8a) -23 + 3a = (-5 * 7 + 8a * 7) -23 + 3a = (-35 + 56a) Solving -23 + 3a = -35 + 56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56a' to each side of the equation. -23 + 3a + -56a = -35 + 56a + -56a Combine like terms: 3a + -56a = -53a -23 + -53a = -35 + 56a + -56a Combine like terms: 56a + -56a = 0 -23 + -53a = -35 + 0 -23 + -53a = -35 Add '23' to each side of the equation. -23 + 23 + -53a = -35 + 23 Combine like terms: -23 + 23 = 0 0 + -53a = -35 + 23 -53a = -35 + 23 Combine like terms: -35 + 23 = -12 -53a = -12 Divide each side by '-53'. a = 0.2264150943 Simplifying a = 0.2264150943
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