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Simplifying 4(2a + -3b) = 8a * 12b (2a * 4 + -3b * 4) = 8a * 12b (8a + -12b) = 8a * 12b Reorder the terms for easier multiplication: 8a + -12b = 8 * 12a * b Multiply 8 * 12 8a + -12b = 96a * b Multiply a * b 8a + -12b = 96ab Solving 8a + -12b = 96ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-96ab' to each side of the equation. 8a + -96ab + -12b = 96ab + -96ab Combine like terms: 96ab + -96ab = 0 8a + -96ab + -12b = 0 Add '12b' to each side of the equation. 8a + -96ab + -12b + 12b = 0 + 12b Combine like terms: -12b + 12b = 0 8a + -96ab + 0 = 0 + 12b 8a + -96ab = 0 + 12b Remove the zero: 8a + -96ab = 12b Combine like terms: 12b + -12b = 0 8a + -96ab + -12b = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2a + -24ab + -3b) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2a + -24ab + -3b)' equal to zero and attempt to solve: Simplifying 2a + -24ab + -3b = 0 Solving 2a + -24ab + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 2a + -24ab + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 2a + -24ab + 0 = 0 + 3b 2a + -24ab = 0 + 3b Remove the zero: 2a + -24ab = 3b 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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