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Simplifying 10 + 2z + -188 = 3z + 3 + -6 Reorder the terms: 10 + -188 + 2z = 3z + 3 + -6 Combine like terms: 10 + -188 = -178 -178 + 2z = 3z + 3 + -6 Reorder the terms: -178 + 2z = 3 + -6 + 3z Combine like terms: 3 + -6 = -3 -178 + 2z = -3 + 3z Solving -178 + 2z = -3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -178 + 2z + -3z = -3 + 3z + -3z Combine like terms: 2z + -3z = -1z -178 + -1z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 -178 + -1z = -3 + 0 -178 + -1z = -3 Add '178' to each side of the equation. -178 + 178 + -1z = -3 + 178 Combine like terms: -178 + 178 = 0 0 + -1z = -3 + 178 -1z = -3 + 178 Combine like terms: -3 + 178 = 175 -1z = 175 Divide each side by '-1'. z = -175 Simplifying z = -175
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