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Simplifying 24x + -3(2a + -5) = 51 Reorder the terms: 24x + -3(-5 + 2a) = 51 24x + (-5 * -3 + 2a * -3) = 51 24x + (15 + -6a) = 51 Reorder the terms: 15 + -6a + 24x = 51 Solving 15 + -6a + 24x = 51 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -6a + -15 + 24x = 51 + -15 Reorder the terms: 15 + -15 + -6a + 24x = 51 + -15 Combine like terms: 15 + -15 = 0 0 + -6a + 24x = 51 + -15 -6a + 24x = 51 + -15 Combine like terms: 51 + -15 = 36 -6a + 24x = 36 Add '-24x' to each side of the equation. -6a + 24x + -24x = 36 + -24x Combine like terms: 24x + -24x = 0 -6a + 0 = 36 + -24x -6a = 36 + -24x Divide each side by '-6'. a = -6 + 4x Simplifying a = -6 + 4x
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