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Simplifying (2(ax + 9)) + (4x + b) = 20x + 35 Reorder the terms: (2(9 + ax)) + (4x + b) = 20x + 35 ((9 * 2 + ax * 2)) + (4x + b) = 20x + 35 ((18 + 2ax)) + (4x + b) = 20x + 35 (18 + 2ax) + (4x + b) = 20x + 35 Remove parenthesis around (18 + 2ax) 18 + 2ax + (4x + b) = 20x + 35 Reorder the terms: 18 + 2ax + (b + 4x) = 20x + 35 Remove parenthesis around (b + 4x) 18 + 2ax + b + 4x = 20x + 35 Reorder the terms: 18 + 2ax + b + 4x = 35 + 20x Solving 18 + 2ax + b + 4x = 35 + 20x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 2ax + b + -18 + 4x = 35 + -18 + 20x Reorder the terms: 18 + -18 + 2ax + b + 4x = 35 + -18 + 20x Combine like terms: 18 + -18 = 0 0 + 2ax + b + 4x = 35 + -18 + 20x 2ax + b + 4x = 35 + -18 + 20x Combine like terms: 35 + -18 = 17 2ax + b + 4x = 17 + 20x Add '-1b' to each side of the equation. 2ax + b + -1b + 4x = 17 + -1b + 20x Combine like terms: b + -1b = 0 2ax + 0 + 4x = 17 + -1b + 20x 2ax + 4x = 17 + -1b + 20x Add '-4x' to each side of the equation. 2ax + 4x + -4x = 17 + -1b + 20x + -4x Combine like terms: 4x + -4x = 0 2ax + 0 = 17 + -1b + 20x + -4x 2ax = 17 + -1b + 20x + -4x Combine like terms: 20x + -4x = 16x 2ax = 17 + -1b + 16x Divide each side by '2x'. a = 8.5x-1 + -0.5bx-1 + 8 Simplifying a = 8.5x-1 + -0.5bx-1 + 8 Reorder the terms: a = 8 + -0.5bx-1 + 8.5x-1
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