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Simplifying -4z + -1(7z + 10) = 10 + (2z + 2) Reorder the terms: -4z + -1(10 + 7z) = 10 + (2z + 2) -4z + (10 * -1 + 7z * -1) = 10 + (2z + 2) -4z + (-10 + -7z) = 10 + (2z + 2) Reorder the terms: -10 + -4z + -7z = 10 + (2z + 2) Combine like terms: -4z + -7z = -11z -10 + -11z = 10 + (2z + 2) Reorder the terms: -10 + -11z = 10 + (2 + 2z) Remove parenthesis around (2 + 2z) -10 + -11z = 10 + 2 + 2z Combine like terms: 10 + 2 = 12 -10 + -11z = 12 + 2z Solving -10 + -11z = 12 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -10 + -11z + -2z = 12 + 2z + -2z Combine like terms: -11z + -2z = -13z -10 + -13z = 12 + 2z + -2z Combine like terms: 2z + -2z = 0 -10 + -13z = 12 + 0 -10 + -13z = 12 Add '10' to each side of the equation. -10 + 10 + -13z = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -13z = 12 + 10 -13z = 12 + 10 Combine like terms: 12 + 10 = 22 -13z = 22 Divide each side by '-13'. z = -1.692307692 Simplifying z = -1.692307692
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