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Simplifying 13 + -3a = 8(3a + 4) + 8 Reorder the terms: 13 + -3a = 8(4 + 3a) + 8 13 + -3a = (4 * 8 + 3a * 8) + 8 13 + -3a = (32 + 24a) + 8 Reorder the terms: 13 + -3a = 32 + 8 + 24a Combine like terms: 32 + 8 = 40 13 + -3a = 40 + 24a Solving 13 + -3a = 40 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 13 + -3a + -24a = 40 + 24a + -24a Combine like terms: -3a + -24a = -27a 13 + -27a = 40 + 24a + -24a Combine like terms: 24a + -24a = 0 13 + -27a = 40 + 0 13 + -27a = 40 Add '-13' to each side of the equation. 13 + -13 + -27a = 40 + -13 Combine like terms: 13 + -13 = 0 0 + -27a = 40 + -13 -27a = 40 + -13 Combine like terms: 40 + -13 = 27 -27a = 27 Divide each side by '-27'. a = -1 Simplifying a = -1
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