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Simplifying (7x * 5d) + (30y * 5d) = 700 Reorder the terms for easier multiplication: (7 * 5x * d) + (30y * 5d) = 700 Multiply 7 * 5 (35x * d) + (30y * 5d) = 700 Multiply x * d (35dx) + (30y * 5d) = 700 Reorder the terms for easier multiplication: (35dx) + (30 * 5y * d) = 700 Multiply 30 * 5 (35dx) + (150y * d) = 700 Multiply y * d (35dx) + (150dy) = 700 Solving (35dx) + (150dy) = 700 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Reorder the terms: -700 + (35dx) + (150dy) = 700 + -700 Combine like terms: 700 + -700 = 0 -700 + (35dx) + (150dy) = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-140 + (7dx) + (30dy)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-140 + (7dx) + (30dy))' equal to zero and attempt to solve: Simplifying -140 + (7dx) + (30dy) = 0 Solving -140 + (7dx) + (30dy) = 0 Move all terms containing d to the left, all other terms to the right. Add '140' to each side of the equation. -140 + (7dx) + 140 + (30dy) = 0 + 140 Reorder the terms: -140 + 140 + (7dx) + (30dy) = 0 + 140 Combine like terms: -140 + 140 = 0 0 + (7dx) + (30dy) = 0 + 140 (7dx) + (30dy) = 0 + 140 Combine like terms: 0 + 140 = 140 (7dx) + (30dy) = 140 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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