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Simplifying 3x(a + -7b) + -10y(a + -7b) = 0 (a * 3x + -7b * 3x) + -10y(a + -7b) = 0 (3ax + -21bx) + -10y(a + -7b) = 0 3ax + -21bx + (a * -10y + -7b * -10y) = 0 3ax + -21bx + (-10ay + 70by) = 0 Reorder the terms: 3ax + -10ay + -21bx + 70by = 0 Solving 3ax + -10ay + -21bx + 70by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21bx' to each side of the equation. 3ax + -10ay + -21bx + 21bx + 70by = 0 + 21bx Combine like terms: -21bx + 21bx = 0 3ax + -10ay + 0 + 70by = 0 + 21bx 3ax + -10ay + 70by = 0 + 21bx Remove the zero: 3ax + -10ay + 70by = 21bx Add '-70by' to each side of the equation. 3ax + -10ay + 70by + -70by = 21bx + -70by Combine like terms: 70by + -70by = 0 3ax + -10ay + 0 = 21bx + -70by 3ax + -10ay = 21bx + -70by Reorder the terms: 3ax + -10ay + -21bx + 70by = 21bx + -21bx + -70by + 70by Combine like terms: 21bx + -21bx = 0 3ax + -10ay + -21bx + 70by = 0 + -70by + 70by 3ax + -10ay + -21bx + 70by = -70by + 70by Combine like terms: -70by + 70by = 0 3ax + -10ay + -21bx + 70by = 0 The solution to this equation could not be determined.
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