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Simplifying z + (2z + -100) = (z + 50) + (2z + -100) + -20 Reorder the terms: z + (-100 + 2z) = (z + 50) + (2z + -100) + -20 Remove parenthesis around (-100 + 2z) z + -100 + 2z = (z + 50) + (2z + -100) + -20 Reorder the terms: -100 + z + 2z = (z + 50) + (2z + -100) + -20 Combine like terms: z + 2z = 3z -100 + 3z = (z + 50) + (2z + -100) + -20 Reorder the terms: -100 + 3z = (50 + z) + (2z + -100) + -20 Remove parenthesis around (50 + z) -100 + 3z = 50 + z + (2z + -100) + -20 Reorder the terms: -100 + 3z = 50 + z + (-100 + 2z) + -20 Remove parenthesis around (-100 + 2z) -100 + 3z = 50 + z + -100 + 2z + -20 Reorder the terms: -100 + 3z = 50 + -100 + -20 + z + 2z Combine like terms: 50 + -100 = -50 -100 + 3z = -50 + -20 + z + 2z Combine like terms: -50 + -20 = -70 -100 + 3z = -70 + z + 2z Combine like terms: z + 2z = 3z -100 + 3z = -70 + 3z Add '-3z' to each side of the equation. -100 + 3z + -3z = -70 + 3z + -3z Combine like terms: 3z + -3z = 0 -100 + 0 = -70 + 3z + -3z -100 = -70 + 3z + -3z Combine like terms: 3z + -3z = 0 -100 = -70 + 0 -100 = -70 Solving -100 = -70 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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