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Simplifying 58 + 4(3a + -8) = 4 + 13a Reorder the terms: 58 + 4(-8 + 3a) = 4 + 13a 58 + (-8 * 4 + 3a * 4) = 4 + 13a 58 + (-32 + 12a) = 4 + 13a Combine like terms: 58 + -32 = 26 26 + 12a = 4 + 13a Solving 26 + 12a = 4 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 26 + 12a + -13a = 4 + 13a + -13a Combine like terms: 12a + -13a = -1a 26 + -1a = 4 + 13a + -13a Combine like terms: 13a + -13a = 0 26 + -1a = 4 + 0 26 + -1a = 4 Add '-26' to each side of the equation. 26 + -26 + -1a = 4 + -26 Combine like terms: 26 + -26 = 0 0 + -1a = 4 + -26 -1a = 4 + -26 Combine like terms: 4 + -26 = -22 -1a = -22 Divide each side by '-1'. a = 22 Simplifying a = 22
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