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Simplifying 3x(7 + -2a) = 2x(-9) (7 * 3x + -2a * 3x) = 2x(-9) Reorder the terms: (-6ax + 21x) = 2x(-9) (-6ax + 21x) = 2x(-9) Reorder the terms for easier multiplication: -6ax + 21x = 2 * -9x Multiply 2 * -9 -6ax + 21x = -18x Solving -6ax + 21x = -18x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21x' to each side of the equation. -6ax + 21x + -21x = -18x + -21x Combine like terms: 21x + -21x = 0 -6ax + 0 = -18x + -21x -6ax = -18x + -21x Combine like terms: -18x + -21x = -39x -6ax = -39x Divide each side by '-6x'. a = 6.5 Simplifying a = 6.5
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