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Simplifying 7a + -5 = 2[2a + -13] Reorder the terms: -5 + 7a = 2[2a + -13] Reorder the terms: -5 + 7a = 2[-13 + 2a] -5 + 7a = [-13 * 2 + 2a * 2] -5 + 7a = [-26 + 4a] Solving -5 + 7a = -26 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -5 + 7a + -4a = -26 + 4a + -4a Combine like terms: 7a + -4a = 3a -5 + 3a = -26 + 4a + -4a Combine like terms: 4a + -4a = 0 -5 + 3a = -26 + 0 -5 + 3a = -26 Add '5' to each side of the equation. -5 + 5 + 3a = -26 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = -26 + 5 3a = -26 + 5 Combine like terms: -26 + 5 = -21 3a = -21 Divide each side by '3'. a = -7 Simplifying a = -7
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