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Simplifying 6z = 4[onehalfz + -8] Reorder the terms: 6z = 4[-8 + aefhlnoz] 6z = [-8 * 4 + aefhlnoz * 4] 6z = [-32 + 4aefhlnoz] Solving 6z = -32 + 4aefhlnoz Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4aefhlnoz' to each side of the equation. -4aefhlnoz + 6z = -32 + 4aefhlnoz + -4aefhlnoz Combine like terms: 4aefhlnoz + -4aefhlnoz = 0 -4aefhlnoz + 6z = -32 + 0 -4aefhlnoz + 6z = -32 Reorder the terms: 32 + -4aefhlnoz + 6z = -32 + 32 Combine like terms: -32 + 32 = 0 32 + -4aefhlnoz + 6z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(16 + -2aefhlnoz + 3z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(16 + -2aefhlnoz + 3z)' equal to zero and attempt to solve: Simplifying 16 + -2aefhlnoz + 3z = 0 Solving 16 + -2aefhlnoz + 3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -2aefhlnoz + -16 + 3z = 0 + -16 Reorder the terms: 16 + -16 + -2aefhlnoz + 3z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2aefhlnoz + 3z = 0 + -16 -2aefhlnoz + 3z = 0 + -16 Combine like terms: 0 + -16 = -16 -2aefhlnoz + 3z = -16 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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