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Simplifying (2ax + 3by + 5) + -1(3ax + -3by + -5) = 0 Reorder the terms: (5 + 2ax + 3by) + -1(3ax + -3by + -5) = 0 Remove parenthesis around (5 + 2ax + 3by) 5 + 2ax + 3by + -1(3ax + -3by + -5) = 0 Reorder the terms: 5 + 2ax + 3by + -1(-5 + 3ax + -3by) = 0 5 + 2ax + 3by + (-5 * -1 + 3ax * -1 + -3by * -1) = 0 5 + 2ax + 3by + (5 + -3ax + 3by) = 0 Reorder the terms: 5 + 5 + 2ax + -3ax + 3by + 3by = 0 Combine like terms: 5 + 5 = 10 10 + 2ax + -3ax + 3by + 3by = 0 Combine like terms: 2ax + -3ax = -1ax 10 + -1ax + 3by + 3by = 0 Combine like terms: 3by + 3by = 6by 10 + -1ax + 6by = 0 Solving 10 + -1ax + 6by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -1ax + -10 + 6by = 0 + -10 Reorder the terms: 10 + -10 + -1ax + 6by = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1ax + 6by = 0 + -10 -1ax + 6by = 0 + -10 Combine like terms: 0 + -10 = -10 -1ax + 6by = -10 Add '-6by' to each side of the equation. -1ax + 6by + -6by = -10 + -6by Combine like terms: 6by + -6by = 0 -1ax + 0 = -10 + -6by -1ax = -10 + -6by Divide each side by '-1x'. a = 10x-1 + 6bx-1y Simplifying a = 10x-1 + 6bx-1y Reorder the terms: a = 6bx-1y + 10x-1
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