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Simplifying 8 + 3x(a + -5) = -28 Reorder the terms: 8 + 3x(-5 + a) = -28 8 + (-5 * 3x + a * 3x) = -28 Reorder the terms: 8 + (3ax + -15x) = -28 8 + (3ax + -15x) = -28 Solving 8 + 3ax + -15x = -28 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 3ax + -8 + -15x = -28 + -8 Reorder the terms: 8 + -8 + 3ax + -15x = -28 + -8 Combine like terms: 8 + -8 = 0 0 + 3ax + -15x = -28 + -8 3ax + -15x = -28 + -8 Combine like terms: -28 + -8 = -36 3ax + -15x = -36 Add '15x' to each side of the equation. 3ax + -15x + 15x = -36 + 15x Combine like terms: -15x + 15x = 0 3ax + 0 = -36 + 15x 3ax = -36 + 15x Divide each side by '3x'. a = -12x-1 + 5 Simplifying a = -12x-1 + 5 Reorder the terms: a = 5 + -12x-1
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