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Simplifying 7(z + -5) + -6(2 + -3z) = 12(Z + 1) Reorder the terms: 7(-5 + z) + -6(2 + -3z) = 12(Z + 1) (-5 * 7 + z * 7) + -6(2 + -3z) = 12(Z + 1) (-35 + 7z) + -6(2 + -3z) = 12(Z + 1) -35 + 7z + (2 * -6 + -3z * -6) = 12(Z + 1) -35 + 7z + (-12 + 18z) = 12(Z + 1) Reorder the terms: -35 + -12 + 7z + 18z = 12(Z + 1) Combine like terms: -35 + -12 = -47 -47 + 7z + 18z = 12(Z + 1) Combine like terms: 7z + 18z = 25z -47 + 25z = 12(Z + 1) Reorder the terms: -47 + 25z = 12(1 + Z) -47 + 25z = (1 * 12 + Z * 12) -47 + 25z = (12 + 12Z) Solving -47 + 25z = 12 + 12Z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 25z = 12 + 47 + 12Z Combine like terms: -47 + 47 = 0 0 + 25z = 12 + 47 + 12Z 25z = 12 + 47 + 12Z Combine like terms: 12 + 47 = 59 25z = 59 + 12Z Divide each side by '25'. z = 2.36 + 0.48Z Simplifying z = 2.36 + 0.48Z
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