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Simplifying -10 + -3z + -3 = -3z + -7 + 2z Reorder the terms: -10 + -3 + -3z = -3z + -7 + 2z Combine like terms: -10 + -3 = -13 -13 + -3z = -3z + -7 + 2z Reorder the terms: -13 + -3z = -7 + -3z + 2z Combine like terms: -3z + 2z = -1z -13 + -3z = -7 + -1z Solving -13 + -3z = -7 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -13 + -3z + z = -7 + -1z + z Combine like terms: -3z + z = -2z -13 + -2z = -7 + -1z + z Combine like terms: -1z + z = 0 -13 + -2z = -7 + 0 -13 + -2z = -7 Add '13' to each side of the equation. -13 + 13 + -2z = -7 + 13 Combine like terms: -13 + 13 = 0 0 + -2z = -7 + 13 -2z = -7 + 13 Combine like terms: -7 + 13 = 6 -2z = 6 Divide each side by '-2'. z = -3 Simplifying z = -3
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