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Simplifying 6x(a + -43) + -36 = 18 Reorder the terms: 6x(-43 + a) + -36 = 18 (-43 * 6x + a * 6x) + -36 = 18 Reorder the terms: (6ax + -258x) + -36 = 18 (6ax + -258x) + -36 = 18 Reorder the terms: -36 + 6ax + -258x = 18 Solving -36 + 6ax + -258x = 18 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 6ax + 36 + -258x = 18 + 36 Reorder the terms: -36 + 36 + 6ax + -258x = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 6ax + -258x = 18 + 36 6ax + -258x = 18 + 36 Combine like terms: 18 + 36 = 54 6ax + -258x = 54 Add '258x' to each side of the equation. 6ax + -258x + 258x = 54 + 258x Combine like terms: -258x + 258x = 0 6ax + 0 = 54 + 258x 6ax = 54 + 258x Divide each side by '6x'. a = 9x-1 + 43 Simplifying a = 9x-1 + 43 Reorder the terms: a = 43 + 9x-1
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