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Simplifying -3(4b + -10) = 1half(-24b + 60) Reorder the terms: -3(-10 + 4b) = 1half(-24b + 60) (-10 * -3 + 4b * -3) = 1half(-24b + 60) (30 + -12b) = 1half(-24b + 60) Reorder the terms: 30 + -12b = 1afhl(60 + -24b) 30 + -12b = (60 * 1afhl + -24b * 1afhl) Reorder the terms: 30 + -12b = (-24abfhl + 60afhl) 30 + -12b = (-24abfhl + 60afhl) Solving 30 + -12b = -24abfhl + 60afhl Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24abfhl' to each side of the equation. 30 + 24abfhl + -12b = -24abfhl + 24abfhl + 60afhl Combine like terms: -24abfhl + 24abfhl = 0 30 + 24abfhl + -12b = 0 + 60afhl 30 + 24abfhl + -12b = 60afhl Add '-30' to each side of the equation. 30 + 24abfhl + -30 + -12b = -30 + 60afhl Reorder the terms: 30 + -30 + 24abfhl + -12b = -30 + 60afhl Combine like terms: 30 + -30 = 0 0 + 24abfhl + -12b = -30 + 60afhl 24abfhl + -12b = -30 + 60afhl Reorder the terms: 30 + 24abfhl + -60afhl + -12b = -30 + 60afhl + 30 + -60afhl Reorder the terms: 30 + 24abfhl + -60afhl + -12b = -30 + 30 + 60afhl + -60afhl Combine like terms: -30 + 30 = 0 30 + 24abfhl + -60afhl + -12b = 0 + 60afhl + -60afhl 30 + 24abfhl + -60afhl + -12b = 60afhl + -60afhl Combine like terms: 60afhl + -60afhl = 0 30 + 24abfhl + -60afhl + -12b = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(5 + 4abfhl + -10afhl + -2b) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(5 + 4abfhl + -10afhl + -2b)' equal to zero and attempt to solve: Simplifying 5 + 4abfhl + -10afhl + -2b = 0 Solving 5 + 4abfhl + -10afhl + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4abfhl + -10afhl + -5 + -2b = 0 + -5 Reorder the terms: 5 + -5 + 4abfhl + -10afhl + -2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4abfhl + -10afhl + -2b = 0 + -5 4abfhl + -10afhl + -2b = 0 + -5 Combine like terms: 0 + -5 = -5 4abfhl + -10afhl + -2b = -5 Add '10afhl' to each side of the equation. 4abfhl + -10afhl + 10afhl + -2b = -5 + 10afhl Combine like terms: -10afhl + 10afhl = 0 4abfhl + 0 + -2b = -5 + 10afhl 4abfhl + -2b = -5 + 10afhl 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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