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Simplifying 3x(5 + -3a) + 5 = 2x + -9 (5 * 3x + -3a * 3x) + 5 = 2x + -9 Reorder the terms: (-9ax + 15x) + 5 = 2x + -9 (-9ax + 15x) + 5 = 2x + -9 Reorder the terms: 5 + -9ax + 15x = 2x + -9 Reorder the terms: 5 + -9ax + 15x = -9 + 2x Solving 5 + -9ax + 15x = -9 + 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -9ax + -5 + 15x = -9 + -5 + 2x Reorder the terms: 5 + -5 + -9ax + 15x = -9 + -5 + 2x Combine like terms: 5 + -5 = 0 0 + -9ax + 15x = -9 + -5 + 2x -9ax + 15x = -9 + -5 + 2x Combine like terms: -9 + -5 = -14 -9ax + 15x = -14 + 2x Add '-15x' to each side of the equation. -9ax + 15x + -15x = -14 + 2x + -15x Combine like terms: 15x + -15x = 0 -9ax + 0 = -14 + 2x + -15x -9ax = -14 + 2x + -15x Combine like terms: 2x + -15x = -13x -9ax = -14 + -13x Divide each side by '-9x'. a = 1.555555556x-1 + 1.444444444 Simplifying a = 1.555555556x-1 + 1.444444444 Reorder the terms: a = 1.444444444 + 1.555555556x-1
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