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Simplifying -79z + 86z + -42z + -47z + -1(-93z) + -1(-20) = -90 Remove parenthesis around (-93z) -79z + 86z + -42z + -47z + -1 * -93z + -1(-20) = -90 Multiply -1 * -93 -79z + 86z + -42z + -47z + 93z + -1(-20) = -90 Multiply -1 * -20 -79z + 86z + -42z + -47z + 93z + 20 = -90 Reorder the terms: 20 + -79z + 86z + -42z + -47z + 93z = -90 Combine like terms: -79z + 86z = 7z 20 + 7z + -42z + -47z + 93z = -90 Combine like terms: 7z + -42z = -35z 20 + -35z + -47z + 93z = -90 Combine like terms: -35z + -47z = -82z 20 + -82z + 93z = -90 Combine like terms: -82z + 93z = 11z 20 + 11z = -90 Solving 20 + 11z = -90 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 11z = -90 + -20 Combine like terms: 20 + -20 = 0 0 + 11z = -90 + -20 11z = -90 + -20 Combine like terms: -90 + -20 = -110 11z = -110 Divide each side by '11'. z = -10 Simplifying z = -10
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